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Author : P. H. Rabinowitz
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (897 download)
Download or read book Pairs of Positive Solutions on Nonlinear Elliptic Partial Differential Equations written by P. H. Rabinowitz and published by . This book was released on 1972 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Evgeniĭ Borisovich Dynkin
Publisher : American Mathematical Soc.
ISBN 13 : 082183682X
Total Pages : 130 pages
Book Rating : 4.8/5 (218 download)
Download or read book Superdiffusions and Positive Solutions of Nonlinear Partial Differential Equations written by Evgeniĭ Borisovich Dynkin and published by American Mathematical Soc.. This book was released on 2004 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the applications of probability theory to the theory of nonlinear partial differential equations. More precisely, it is shown that all positive solutions for a class of nonlinear elliptic equations in a domain are described in terms of their traces on the boundary of the domain. The main probabilistic tool is the theory of superdiffusions, which describes a random evolution of a cloud of particles. A substantial enhancement of this theory is presented that will be of interest to anyone who works on applications of probabilistic methods to mathematical analysis. The book is suitable for graduate students and research mathematicians interested in probability theory and its applications to differential equations. Also of interest by this author is Diffusions, Superdiffusions and Partial Differential Equations in the AMS series, Colloquium Publications.
Author : M.R. Grossinho
Publisher : Springer Science & Business Media
ISBN 13 : 1461201918
Total Pages : 383 pages
Book Rating : 4.4/5 (612 download)
Download or read book Nonlinear Analysis and its Applications to Differential Equations written by M.R. Grossinho and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work, consisting of expository articles as well as research papers, highlights recent developments in nonlinear analysis and differential equations. The material is largely an outgrowth of autumn school courses and seminars held at the University of Lisbon and has been thoroughly refereed. Several topics in ordinary differential equations and partial differential equations are the focus of key articles, including: * periodic solutions of systems with p-Laplacian type operators (J. Mawhin) * bifurcation in variational inequalities (K. Schmitt) * a geometric approach to dynamical systems in the plane via twist theorems (R. Ortega) * asymptotic behavior and periodic solutions for Navier--Stokes equations (E. Feireisl) * mechanics on Riemannian manifolds (W. Oliva) * techniques of lower and upper solutions for ODEs (C. De Coster and P. Habets) A number of related subjects dealing with properties of solutions, e.g., bifurcations, symmetries, nonlinear oscillations, are treated in other articles. This volume reflects rich and varied fields of research and will be a useful resource for mathematicians and graduate students in the ODE and PDE community.
Author : Mingxin Wang
Publisher : Springer Nature
ISBN 13 : 9819986923
Total Pages : 319 pages
Book Rating : 4.8/5 (199 download)
Download or read book Nonlinear Second Order Elliptic Equations written by Mingxin Wang and published by Springer Nature. This book was released on with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Lloyd Finn
Publisher :
ISBN 13 :
Total Pages : 394 pages
Book Rating : 4.:/5 (33 download)
Download or read book Positive Solutions to Nonlinear Elliptic Equations with Prescribed Singularities written by David Lloyd Finn and published by . This book was released on 1995 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Marino
Publisher : Longman Scientific and Technical
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.X/5 (1 download)
Download or read book Nonlinear Variational Problems written by A. Marino and published by Longman Scientific and Technical. This book was released on 1989 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Louis Dupaigne
Publisher : CRC Press
ISBN 13 : 1420066552
Total Pages : 334 pages
Book Rating : 4.4/5 (2 download)
Download or read book Stable Solutions of Elliptic Partial Differential Equations written by Louis Dupaigne and published by CRC Press. This book was released on 2011-03-15 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, including mathematical physics (combustion, phase transition theory) and geometry (minimal surfaces). Stable Solutions of Elliptic Partial Differential Equations offers a self-contained presentation of the notion of stability in elliptic partial differential equations (PDEs). The central questions of regularity and classification of stable solutions are treated at length. Specialists will find a summary of the most recent developments of the theory, such as nonlocal and higher-order equations. For beginners, the book walks you through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional inequalities commonly used in this field. The text also includes two additional topics: the inverse-square potential and some background material on submanifolds of Euclidean space.
Author :
Publisher :
ISBN 13 :
Total Pages : 143 pages
Book Rating : 4.:/5 (931 download)
Download or read book Positive Solutions to Nonlinear Elliptic Equations with Critical Potential written by and published by . This book was released on 2006 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Antonio Ambrosetti
Publisher : Cambridge University Press
ISBN 13 : 1139460633
Total Pages : 239 pages
Book Rating : 4.1/5 (394 download)
Download or read book Nonlinear Analysis and Semilinear Elliptic Problems written by Antonio Ambrosetti and published by Cambridge University Press. This book was released on 2007-01-04 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in science and engineering are described by nonlinear differential equations, which can be notoriously difficult to solve. Through the interplay of topological and variational ideas, methods of nonlinear analysis are able to tackle such fundamental problems. This graduate text explains some of the key techniques in a way that will be appreciated by mathematicians, physicists and engineers. Starting from elementary tools of bifurcation theory and analysis, the authors cover a number of more modern topics from critical point theory to elliptic partial differential equations. A series of Appendices give convenient accounts of a variety of advanced topics that will introduce the reader to areas of current research. The book is amply illustrated and many chapters are rounded off with a set of exercises.
Author : Guglielmo Feltrin
Publisher : Springer
ISBN 13 : 3319942387
Total Pages : 323 pages
Book Rating : 4.3/5 (199 download)
Download or read book Positive Solutions to Indefinite Problems written by Guglielmo Feltrin and published by Springer. This book was released on 2018-11-23 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of positive solutions to indefinite problems. The monograph intelligibly provides an extensive overview of topological methods and introduces new ideas and results. Sticking to the one-dimensional setting, the author shows that compelling and substantial research can be obtained and presented in a penetrable way. In particular, the book focuses on second order nonlinear differential equations. It analyzes the Dirichlet, Neumann and periodic boundary value problems associated with the equation and provides existence, nonexistence and multiplicity results for positive solutions. The author proposes a new approach based on topological degree theory that allows him to answer some open questions and solve a conjecture about the dependence of the number of positive solutions on the nodal behaviour of the nonlinear term of the equation. The new technique developed in the book gives, as a byproduct, infinitely many subharmonic solutions and globally defined positive solutions with chaotic behaviour. Furthermore, some future directions for research, open questions and interesting, unexplored topics of investigation are proposed.
Author : C Perello
Publisher : World Scientific
ISBN 13 : 9814554715
Total Pages : 1036 pages
Book Rating : 4.8/5 (145 download)
Download or read book Equadiff-91 - International Conference On Differential Equations (In 2 Volumes) written by C Perello and published by World Scientific. This book was released on 1993-05-25 with total page 1036 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equadiff-91 stems from the series of conferences initiated by the late Professor Vogel. The first conference Equadiff-70 which was held in Marseille. Since then, similar conferences had been held in Brussels, Florence, Wurzburg as well as Xanthi. The purpose of the Equadiff series of conferences is to present the latest development in the field of differential equations, both ordinary and partial, including their numerical treatment and applications to the mathematics community. These conferences had attracted renowned mathematicians from all over the world to present their studies and findings. The latest conference under the series was Equadiff-91, held in Barcelona. It attracted some 30 renowned mathematicians. Researchers and graduate students of pure and applied mathematics will find this compilation of conference proceedings up-to-date, relevant and insightful.
Author : Stephan Dahlke
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (749 download)
Download or read book On Besov Regularity of Solutions to Nonlinear Elliptic Partial Differential Equations written by Stephan Dahlke and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Existence of Positive Solutions for Nonlinear Elliptic Equations with Convection Terms written by and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marcelo F. Furtado
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.3/5 (91 download)
Download or read book Multiplicity of Nodal Solutions for a Critical Quasilinear Equation with Symmetry written by Marcelo F. Furtado and published by . This book was released on 2004 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. Concus
Publisher :
ISBN 13 :
Total Pages : 45 pages
Book Rating : 4.:/5 (476 download)
Download or read book Numerical Solution of Nonlinear Elliptic Partial written by P. Concus and published by . This book was released on 1976 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Finn
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.3/5 (91 download)
Download or read book On the Growth of Solutions of Non-linear Elliptic Partial Differential Equations written by Robert Finn and published by . This book was released on 1954 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: An analogue of Schwar'z Lemma is proved for the solutions of a class of non-linear partial differential equations, which includes equations derived by suitable approximation to the adiabatic gas law.
