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Author : Eugenio Massa
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.3/5 (91 download)
Download or read book On the Fučík Spectrum for Elliptic Systems written by Eugenio Massa and published by . This book was released on 2005 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. P. Gossez
Publisher : American Mathematical Soc.
ISBN 13 : 0821849077
Total Pages : 278 pages
Book Rating : 4.8/5 (218 download)
Download or read book Nonlinear Elliptic Partial Differential Equations written by J. P. Gossez and published by American Mathematical Soc.. This book was released on 2011 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers on semi-linear and quasi-linear elliptic equations from the workshop on Nonlinear Elliptic Partial Differential Equations, in honor of Jean-Pierre Gossez's 65th birthday, held September 2-4, 2009 at the Universite Libre de Bruxelles, Belgium. The workshop reflected Gossez's contributions in nonlinear elliptic PDEs and provided an opening to new directions in this very active research area. Presentations covered recent progress in Gossez's favorite topics, namely various problems related to the $p$-Laplacian operator, the antimaximum principle, the Fucik Spectrum, and other related subjects. This volume will be of principle interest to researchers in nonlinear analysis, especially in partial differential equations of elliptic type.
Author : Eugenio Massa
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.3/5 (91 download)
Download or read book An Existence for a Linear-superlinear Elliptic System with Neumann Boundary Conditions written by Eugenio Massa and published by . This book was released on 2004 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Schechter
Publisher : Springer Science & Business Media
ISBN 13 : 0817649026
Total Pages : 239 pages
Book Rating : 4.8/5 (176 download)
Download or read book Minimax Systems and Critical Point Theory written by Martin Schechter and published by Springer Science & Business Media. This book was released on 2009-05-28 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text starts at the foundations of the field, and is accessible with some background in functional analysis. As such, the book is ideal for classroom of self study. The new material covered also makes this book a must read for researchers in the theory of critical points.
Author : Gabriela Caristi
Publisher : CRC Press
ISBN 13 : 1000153746
Total Pages : 432 pages
Book Rating : 4.0/5 (1 download)
Download or read book Reaction Diffusion Systems written by Gabriela Caristi and published by CRC Press. This book was released on 2020-10-07 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on the proceedings of the International Conference on Reaction Diffusion Systems held recently at the University of Trieste, Italy. Presents new research papers and state-of-the-art surveys on the theory of elliptic, parabolic, and hyperbolic problems, and their related applications. Furnishes incisive contribution by over 40 mathematicians representing renowned institutions in North and South America, Europe, and the Middle East."
Author : Martin Schechter
Publisher : Springer Science & Business Media
ISBN 13 : 146121596X
Total Pages : 305 pages
Book Rating : 4.4/5 (612 download)
Download or read book Linking Methods in Critical Point Theory written by Martin Schechter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: As is well known, The Great Divide (a.k.a. The Continental Divide) is formed by the Rocky Mountains stretching from north to south across North America. It creates a virtual "stone wall" so high that wind, rain, snow, etc. cannot cross it. This keeps the weather distinct on both sides. Since railroad trains cannot climb steep grades and tunnels through these mountains are almost formidable, the Canadian Pacific Railroad searched for a mountain pass providing the lowest grade for its tracks. Employees discovered a suitable mountain pass, called the Kicking Horse Pass, el. 5404 ft., near Banff, Alberta. (One can speculate as to the reason for the name.) This pass is also used by the Trans-Canada Highway. At the highest point of the pass the railroad tracks are horizontal with mountains rising on both sides. A mountain stream divides into two branches, one flowing into the Atlantic Ocean and the other into the Pacific. One can literally stand (as the author did) with one foot in the Atlantic Ocean and the other in the Pacific. The author has observed many mountain passes in the Rocky Mountains and Alps. What connections do mountain passes have with nonlinear partial dif ferential equations? To find out, read on ...
Author : Djairo G. de Figueiredo
Publisher : Springer Science & Business Media
ISBN 13 : 3319028561
Total Pages : 733 pages
Book Rating : 4.3/5 (19 download)
Download or read book Djairo G. de Figueiredo - Selected Papers written by Djairo G. de Figueiredo and published by Springer Science & Business Media. This book was released on 2014-01-07 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of selected papers by the prominent Brazilian mathematician Djairo G. de Figueiredo, who has made significant contributions in the area of Differential Equations and Analysis. His work has been highly influential as a challenge and inspiration to young mathematicians as well as in development of the general area of analysis in his home country of Brazil. In addition to a large body of research covering a variety of areas including geometry of Banach spaces, monotone operators, nonlinear elliptic problems and variational methods applied to differential equations, de Figueiredo is known for his many monographs and books. Among others, this book offers a sample of the work of Djairo, as he is commonly addressed, advancing the study of superlinear elliptic problems (both scalar and system cases), including questions on critical Sobolev exponents and maximum principles for non-cooperative elliptic systems in Hamiltonian form.
Author : Dumitru Motreanu
Publisher : Academic Press
ISBN 13 : 0128133937
Total Pages : 364 pages
Book Rating : 4.1/5 (281 download)
Download or read book Nonlinear Differential Problems with Smooth and Nonsmooth Constraints written by Dumitru Motreanu and published by Academic Press. This book was released on 2018-02-05 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Differential Problems with Smooth and Nonsmooth Constraints systematically evaluates how to solve boundary value problems with smooth and nonsmooth constraints. Primarily covering nonlinear elliptic eigenvalue problems and quasilinear elliptic problems using techniques amalgamated from a range of sophisticated nonlinear analysis domains, the work is suitable for PhD and other early career researchers seeking solutions to nonlinear differential equations. Although an advanced work, the book is self-contained, requiring only graduate-level knowledge of functional analysis and topology. Whenever suitable, open problems are stated and partial solutions proposed. The work is accompanied by end-of-chapter problems and carefully curated references. - Builds from functional analysis and operator theory, to nonlinear elliptic systems and control problems - Outlines the evolution of the main ideas of nonlinear analysis and their roots in classical mathematics - Presented with numerous end-of-chapter exercises and sophisticated open problems - Illustrated with pertinent industrial and engineering numerical examples and applications - Accompanied by hundreds of curated references, saving readers hours of research in conducting literature analysis
Author :
Publisher :
ISBN 13 :
Total Pages : 426 pages
Book Rating : 4.3/5 (91 download)
Download or read book Topological Methods in Nonlinear Analysis written by and published by . This book was released on 2006 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wenming Zou
Publisher : Springer Science & Business Media
ISBN 13 : 0387766588
Total Pages : 288 pages
Book Rating : 4.3/5 (877 download)
Download or read book Sign-Changing Critical Point Theory written by Wenming Zou and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many nonlinear problems in physics, engineering, biology and social sciences can be reduced to finding critical points of functionals. While minimax and Morse theories provide answers to many situations and problems on the existence of multiple critical points of a functional, they often cannot provide much-needed additional properties of these critical points. Sign-changing critical point theory has emerged as a new area of rich research on critical points of a differentiable functional with important applications to nonlinear elliptic PDEs. This book is intended for advanced graduate students and researchers involved in sign-changing critical point theory, PDEs, global analysis, and nonlinear functional analysis.
Author : Michel Chipot
Publisher : Elsevier
ISBN 13 : 0080461077
Total Pages : 625 pages
Book Rating : 4.0/5 (84 download)
Download or read book Handbook of Differential Equations:Stationary Partial Differential Equations written by Michel Chipot and published by Elsevier. This book was released on 2005-08-19 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of self contained, state-of-the-art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching.Partial differential equations represent one of the most rapidly developing topics in mathematics. This is due to their numerous applications in science and engineering on the one hand and to the challenge and beauty of associated mathematical problems on the other.Key features:- Self-contained volume in series covering one of the most rapid developing topics in mathematics.- 7 Chapters, enriched with numerous figures originating from numerical simulations.- Written by well known experts in the field.- Self-contained volume in series covering one of the most rapid developing topics in mathematics.- 7 Chapters, enriched with numerous figures originating from numerical simulations.- Written by well known experts in the field.
Author : Juan Pablo Pinasco
Publisher : Springer Science & Business Media
ISBN 13 : 1461485231
Total Pages : 143 pages
Book Rating : 4.4/5 (614 download)
Download or read book Lyapunov-type Inequalities written by Juan Pablo Pinasco and published by Springer Science & Business Media. This book was released on 2013-09-14 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: The eigenvalue problems for quasilinear and nonlinear operators present many differences with the linear case, and a Lyapunov inequality for quasilinear resonant systems showed the existence of eigenvalue asymptotics driven by the coupling of the equations instead of the order of the equations. For p=2, the coupling and the order of the equations are the same, so this cannot happen in linear problems. Another striking difference between linear and quasilinear second order differential operators is the existence of Lyapunov-type inequalities in R^n when p>n. Since the linear case corresponds to p=2, for the usual Laplacian there exists a Lyapunov inequality only for one-dimensional problems. For linear higher order problems, several Lyapunov-type inequalities were found by Egorov and Kondratiev and collected in On spectral theory of elliptic operators, Birkhauser Basel 1996. However, there exists an interesting interplay between the dimension of the underlying space, the order of the differential operator, the Sobolev space where the operator is defined, and the norm of the weight appearing in the inequality which is not fully developed. Also, the Lyapunov inequality for differential equations in Orlicz spaces can be used to develop an oscillation theory, bypassing the classical sturmian theory which is not known yet for those equations. For more general operators, like the p(x) laplacian, the possibility of existence of Lyapunov-type inequalities remains unexplored.
Author : Zhitao Zhang
Publisher : Springer Science & Business Media
ISBN 13 : 3642307094
Total Pages : 333 pages
Book Rating : 4.6/5 (423 download)
Download or read book Variational, Topological, and Partial Order Methods with Their Applications written by Zhitao Zhang and published by Springer Science & Business Media. This book was released on 2012-09-17 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear functional analysis is an important branch of contemporary mathematics. It's related to topology, ordinary differential equations, partial differential equations, groups, dynamical systems, differential geometry, measure theory, and more. In this book, the author presents some new and interesting results on fundamental methods in nonlinear functional analysis, namely variational, topological and partial order methods, which have been used extensively to solve existence of solutions for elliptic equations, wave equations, Schrödinger equations, Hamiltonian systems etc., and are also used to study the existence of multiple solutions and properties of solutions. This book is useful for researchers and graduate students in the field of nonlinear functional analysis.
Author : Antonio Ambrosetti
Publisher : Springer Science & Business Media
ISBN 13 : 0817681140
Total Pages : 203 pages
Book Rating : 4.8/5 (176 download)
Download or read book An Introduction to Nonlinear Functional Analysis and Elliptic Problems written by Antonio Ambrosetti and published by Springer Science & Business Media. This book was released on 2011-07-19 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems and displays how various approaches can easily be applied to a range of model cases. Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.
Author : Wenming Zou
Publisher : Springer Science & Business Media
ISBN 13 : 0387329684
Total Pages : 323 pages
Book Rating : 4.3/5 (873 download)
Download or read book Critical Point Theory and Its Applications written by Wenming Zou and published by Springer Science & Business Media. This book was released on 2006-09-10 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some of the latest research in critical point theory, describing methods and presenting the newest applications. Coverage includes extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. Applications described include Hamiltonian systems, Schrödinger equations and systems, jumping nonlinearities, elliptic equations and systems, superlinear problems and beam equations.
Author :
Publisher :
ISBN 13 :
Total Pages : 684 pages
Book Rating : 4.3/5 (91 download)
Download or read book Discrete and Continuous Dynamical Systems written by and published by . This book was released on 2008 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ari Laptev
Publisher : Springer Science & Business Media
ISBN 13 : 1441913459
Total Pages : 408 pages
Book Rating : 4.4/5 (419 download)
Download or read book Around the Research of Vladimir Maz'ya III written by Ari Laptev and published by Springer Science & Business Media. This book was released on 2009-11-25 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reflects the variety of areas where Maz'ya's results are fundamental, influential and/or pioneering. New advantages in such areas are presented by world-recognized experts and include, in particularly, Beurling's minimum principle, inverse hyperbolic problems, degenerate oblique derivative problems, the Lp-contractivity of the generated semigroups, some class of singular integral operators, general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities,domains with rough boundaries, integral and supremum operators, finite rank Toeplitz operators, etc.
