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On The Number Of Positive Solutions Of Weakly Nonlinear Elliptic Equations When A Parameter Is Large
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Book Synopsis On the Number of Positive Solutions of Weakly Nonlinear Elliptic Equations when a Parameter is Large by : E. N. Dancer
Download or read book On the Number of Positive Solutions of Weakly Nonlinear Elliptic Equations when a Parameter is Large written by E. N. Dancer and published by . This book was released on 1984 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Weakly Nonlinear Dirichlet Problems on Long or Thin Domains by : Edward Norman Dancer
Download or read book Weakly Nonlinear Dirichlet Problems on Long or Thin Domains written by Edward Norman Dancer and published by American Mathematical Soc.. This book was released on 1993 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we discuss the existence, uniqueness and asymptotic behavior of positive solutions of the equation −[capital Greek]Delta[italic]u = [lowercase Greek]Lambda[function]ƒ([italic]u) in [capital Greek]Omega[surmounted by macron] [times symbol] [−[italic]n, [italic]n], [and] [italic]u = 0 on [partial derivative/boundary/degree of a polynomial symbol]([capital Greek]Omega[surmounted by macron] [times symbol] [−[italic]n, [italic]n]) for [italic]n large. Here [capital Greek]Omega[surmounted by macron] is a bounded domain in [italic capital]R[superscript italic]k with smooth boundary. Note that by rescaling the equation (including [lowercase Greek]Lambda), our theory covers problems on domains ([set membership symbol][capital Greek]Omega[surmounted by macron]) [times symbol] [−1,1] where [set membership symbol] is small.
Book Synopsis Bifurcation Theory by : Hansjörg Kielhöfer
Download or read book Bifurcation Theory written by Hansjörg Kielhöfer and published by Springer Science & Business Media. This book was released on 2006-04-10 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. This volume will serve as an important reference for mathematicians, physicists, and theoretically-inclined engineers working in bifurcation theory and its applications to partial differential equations.
Book Synopsis Mathematical Problems from Combustion Theory by : Jerrold Bebernes
Download or read book Mathematical Problems from Combustion Theory written by Jerrold Bebernes and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph evolved over the past five years. It had its origin as a set of lecture notes prepared for the Ninth Summer School of Mathematical Physics held at Ravello, Italy, in 1984 and was further refined in seminars and lectures given primarily at the University of Colorado. The material presented is the product of a single mathematical question raised by Dave Kassoy over ten years ago. This question and its partial resolution led to a successful, exciting, almost unique interdisciplinary col laborative scientific effort. The mathematical models described are often times deceptively simple in appearance. But they exhibit a mathematical richness and beauty that belies that simplicity and affirms their physical significance. The mathe matical tools required to resolve the various problems raised are diverse, and no systematic attempt is made to give the necessary mathematical background. The unifying theme of the monograph is the set of models themselves. This monograph would never have come to fruition without the enthu siasm and drive of Dave Eberly-a former student, now collaborator and coauthor-and without several significant breakthroughs in our understand ing of the phenomena of blowup or thermal runaway which certain models discussed possess. A collaborator and former student who has made significant contribu tions throughout is Alberto Bressan. There are many other collaborators William Troy, Watson Fulks, Andrew Lacey, Klaus Schmitt-and former students-Paul Talaga and Richard Ely-who must be acknowledged and thanked.
Book Synopsis Topological Methods in Nonlinear Analysis by :
Download or read book Topological Methods in Nonlinear Analysis written by and published by . This book was released on 2001 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Variational, Topological, and Partial Order Methods with Their Applications by : Zhitao Zhang
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 2012-09-18 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.
Book Synopsis Maximum Principles and Geometric Applications by : Luis J. Alías
Download or read book Maximum Principles and Geometric Applications written by Luis J. Alías and published by Springer. This book was released on 2016-02-13 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathematical tools and geometric foundations needed to develop the various new forms that are presented in the first chapters of the book. In particular, a generalization of the Omori-Yau maximum principle to a wide class of differential operators is given, as well as a corresponding weak maximum principle and its equivalent open form and parabolicity as a special stronger formulation of the latter. In the second part, the attention focuses on a wide range of applications, mainly to geometric problems, but also on some analytic (especially PDEs) questions including: the geometry of submanifolds, hypersurfaces in Riemannian and Lorentzian targets, Ricci solitons, Liouville theorems, uniqueness of solutions of Lichnerowicz-type PDEs and so on. Maximum Principles and Geometric Applications is written in an easy style making it accessible to beginners. The reader is guided with a detailed presentation of some topics of Riemannian geometry that are usually not covered in textbooks. Furthermore, many of the results and even proofs of known results are new and lead to the frontiers of a contemporary and active field of research.
Book Synopsis Nonlinear Second Order Elliptic Equations by : Mingxin Wang
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:
Download or read book Proceedings written by and published by . This book was released on 2005 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Evolution Equations and Their Applications in Physical and Life Sciences by : G Lumer
Download or read book Evolution Equations and Their Applications in Physical and Life Sciences written by G Lumer and published by CRC Press. This book was released on 2019-04-24 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of lectures on linear partial differntial equations and semigroups, nonlinear equations, stochastic evolutionary processes, and evolution problems from physics, engineering and mathematical biology. The contributions come from the 6th International Conference on Evolution Equations and Their Applications in Physica
Book Synopsis Handbook of Differential Equations: Stationary Partial Differential Equations by : Michel Chipot
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 2011-08-11 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is the sixth and last volume in the series devoted to stationary partial differential equations. The topics covered by this volume include in particular domain perturbations for boundary value problems, singular solutions of semilinear elliptic problems, positive solutions to elliptic equations on unbounded domains, symmetry of solutions, stationary compressible Navier-Stokes equation, Lotka-Volterra systems with cross-diffusion, and fixed point theory for elliptic boundary value problems. * Collection of self-contained, state-of-the-art surveys * Written by well-known experts in the field * Informs and updates on all the latest developments
Book Synopsis Discrete and Continuous Dynamical Systems by :
Download or read book Discrete and Continuous Dynamical Systems written by and published by . This book was released on 2009 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Journal of Partial Differential Equations by :
Download or read book Journal of Partial Differential Equations written by and published by . This book was released on 2001 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Miniconference on Geometry and Partial Differential Equations by : Leon Simon
Download or read book Miniconference on Geometry and Partial Differential Equations written by Leon Simon and published by . This book was released on 1986 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Differential Equations by :
Download or read book Advances in Differential Equations written by and published by . This book was released on 2002 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential and Integral Equations by :
Download or read book Differential and Integral Equations written by and published by . This book was released on 2004 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Referativnyĭ zhurnal written by and published by . This book was released on 1987 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:
