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Download Existence Of Solutions Of Elliptic Equations Involving Critical Sobolev Exponents With Neumann Boundary Condition In General Domains full books in PDF, epub, and Kindle. Read online Existence Of Solutions Of Elliptic Equations Involving Critical Sobolev Exponents With Neumann Boundary Condition In General Domains ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : V. Lakshmikantham
Publisher : Walter de Gruyter
ISBN 13 : 3110883236
Total Pages : 4040 pages
Book Rating : 4.1/5 (18 download)
Download or read book World Congress of Nonlinear Analysts '92 written by V. Lakshmikantham and published by Walter de Gruyter. This book was released on 2011-11-14 with total page 4040 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wei-Ming Ni
Publisher : Springer Science & Business Media
ISBN 13 : 1461208858
Total Pages : 234 pages
Book Rating : 4.4/5 (612 download)
Download or read book Degenerate Diffusions written by Wei-Ming Ni and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications DEGENERATE DIFFUSIONS is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries". The aim of this workshop was to provide some focus in the study of degenerate diffusion equations, and by involving scientists and engineers as well as mathematicians, to keep this focus firmly linked to concrete problems. We thank Wei-Ming Ni, L.A. Peletier and J.L. Vazquez for organizing the meet ing. We especially thank Wei-Ming Ni for editing the proceedings. We also take this opportunity to thank those agencies whose financial support made the workshop possible: the Army Research Office, the National Science Foun dation, and the Office of Naval Research. A vner Friedman Willard Miller, Jr. PREFACE This volume is the proceedings of the IMA workshop "Degenerate Diffusions" held at the University of Minnesota from May 13 to May 18, 1991.
Author : Olivier Druet
Publisher : American Mathematical Soc.
ISBN 13 : 0821869094
Total Pages : 118 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Lin-Ni's Problem for Mean Convex Domains written by Olivier Druet and published by American Mathematical Soc.. This book was released on 2012 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors prove some refined asymptotic estimates for positive blow-up solutions to $\Delta u+\epsilon u=n(n-2)u^{\frac{n+2}{n-2}}$ on $\Omega$, $\partial_\nu u=0$ on $\partial\Omega$, $\Omega$ being a smooth bounded domain of $\mathbb{R}^n$, $n\geq 3$. In particular, they show that concentration can occur only on boundary points with nonpositive mean curvature when $n=3$ or $n\geq 7$. As a direct consequence, they prove the validity of the Lin-Ni's conjecture in dimension $n=3$ and $n\geq 7$ for mean convex domains and with bounded energy. Recent examples by Wang-Wei-Yan show that the bound on the energy is a necessary condition.
Author : N.G Lloyd
Publisher : Springer Science & Business Media
ISBN 13 : 1461203937
Total Pages : 567 pages
Book Rating : 4.4/5 (612 download)
Download or read book Nonlinear Diffusion Equations and Their Equilibrium States, 3 written by N.G Lloyd and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = ~cp(U) + f(u). Here ~ denotes the n-dimensional Laplacian, cp and f are given functions and the solution is defined on some domain n x [0, T] in space-time. FUn damental questions concern the existence, uniqueness and regularity of so lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up.
Author : Lucio Damascelli
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110538245
Total Pages : 274 pages
Book Rating : 4.1/5 (15 download)
Download or read book Morse Index of Solutions of Nonlinear Elliptic Equations written by Lucio Damascelli and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-07-08 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents in a unified manner the use of the Morse index, and especially its connections to the maximum principle, in the study of nonlinear elliptic equations. The knowledge or a bound on the Morse index of a solution is a very important qualitative information which can be used in several ways for different problems, in order to derive uniqueness, existence or nonexistence, symmetry, and other properties of solutions.
Author :
Publisher :
ISBN 13 :
Total Pages : 678 pages
Book Rating : 4.:/5 (45 download)
Download or read book Houston Journal of Mathematics written by and published by . This book was released on 1991 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Publisher :
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.:/5 (44 download)
Download or read book Manuscripta Mathematica written by and published by . This book was released on 1991 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 752 pages
Book Rating : 4.3/5 (91 download)
Download or read book Differential and Integral Equations written by and published by . This book was released on 2006 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John R Graef
Publisher : World Scientific
ISBN 13 : 9814696560
Total Pages : 290 pages
Book Rating : 4.8/5 (146 download)
Download or read book Multiple Solutions Of Boundary Value Problems: A Variational Approach written by John R Graef and published by World Scientific. This book was released on 2015-08-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational methods and their generalizations have been verified to be useful tools in proving the existence of solutions to a variety of boundary value problems for ordinary, impulsive, and partial differential equations as well as for difference equations. In this monograph, we look at how variational methods can be used in all these settings. In our first chapter, we gather the basic notions and fundamental theorems that will be applied in the remainder of this monograph. While many of these items are easily available in the literature, we gather them here both for the convenience of the reader and for the purpose of making this volume somewhat self-contained. Subsequent chapters deal with the Sturm-Liouville problems, multi-point boundary value problems, problems with impulses, partial differential equations, and difference equations. An extensive bibliography is also included.
Author : Kazimierz Gęba
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.3/5 (91 download)
Download or read book Topology in Nonlinear Analysis written by Kazimierz Gęba and published by . This book was released on 1996 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eugene L. Allgower
Publisher : American Mathematical Soc.
ISBN 13 : 9780821896976
Total Pages : 476 pages
Book Rating : 4.8/5 (969 download)
Download or read book Exploiting Symmetry in Applied and Numerical Analysis written by Eugene L. Allgower and published by American Mathematical Soc.. This book was released on 1993 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry plays an important role in theoretical physics, applied analysis, classical differential equations, and bifurcation theory. Although numerical analysis has incorporated aspects of symmetry on an ad hoc basis, there is now a growing collection of numerical analysts who are currently attempting to use symmetry groups and representation theory as fundamental tools in their work. This book contains the proceedings of an AMS-SIAM Summer Seminar in Applied Mathematics, held in 1992 at Colorado State University. The seminar, which drew about 100 scientists from around the world, was intended to stimulate the systematic incorporation of symmetry and group theoretical concepts into numerical methods. The papers in this volume have been refereed and will not be published elsewhere.
Author :
Publisher :
ISBN 13 :
Total Pages : 416 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 2002 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 958 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 958 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vicentiu D. Radulescu
Publisher : Hindawi Publishing Corporation
ISBN 13 : 9774540395
Total Pages : 205 pages
Book Rating : 4.7/5 (745 download)
Download or read book Qualitative Analysis of Nonlinear Elliptic Partial Differential Equations written by Vicentiu D. Radulescu and published by Hindawi Publishing Corporation. This book was released on 2008 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by elliptic partial differential equations. These equations can be seen as nonlinear versions of the classical Laplace equation, and they appear as mathematical models in different branches of physics, chemistry, biology, genetics, and engineering and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on the calculus of variations and functional analysis. Concentrating on single-valued or multivalued elliptic equations with nonlinearities of various types, the aim of this volume is to obtain sharp existence or nonexistence results, as well as decay rates for general classes of solutions. Many technically relevant questions are presented and analyzed in detail. A systematic picture of the most relevant phenomena is obtained for the equations under study, including bifurcation, stability, asymptotic analysis, and optimal regularity of solutions. The method of presentation should appeal to readers with different backgrounds in functional analysis and nonlinear partial differential equations. All chapters include detailed heuristic arguments providing thorough motivation of the study developed later on in the text, in relationship with concrete processes arising in applied sciences. A systematic description of the most relevant singular phenomena described in this volume includes existence (or nonexistence) of solutions, unicity or multiplicity properties, bifurcation and asymptotic analysis, and optimal regularity. The book includes an extensive bibliography and a rich index, thus allowing for quick orientation among the vast collection of literature on the mathematical theory of nonlinear phenomena described by elliptic partial differential equations.
Author : Antonio Ambrosetti
Publisher : CRC Press
ISBN 13 : 9782881249372
Total Pages : 300 pages
Book Rating : 4.2/5 (493 download)
Download or read book Variational Methods in Nonlinear Analysis written by Antonio Ambrosetti and published by CRC Press. This book was released on 1995 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very Good,No Highlights or Markup,all pages are intact.
Author : Thierry Cazenave
Publisher : Springer Science & Business Media
ISBN 13 : 3764374012
Total Pages : 516 pages
Book Rating : 4.7/5 (643 download)
Download or read book Contributions to Nonlinear Analysis written by Thierry Cazenave and published by Springer Science & Business Media. This book was released on 2007-08-10 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is concerned with the existence and uniform decay rates of solutions of the waveequation with a sourceterm and subject to nonlinear boundary damping ? ? u ?? u =|u| u in ? ×(0,+?) ? tt ? ? ? ? u=0 on ? ×(0,+?) 0 (1. 1) ? ? u+g(u)=0 on ? ×(0,+?) ? t 1 ? ? ? ? 0 1 u(x,0) = u (x); u (x,0) = u (x),x? ? , t n where ? is a bounded domain of R ,n? 1, with a smooth boundary ? = ? ?? . 0 1 Here, ? and ? are closed and disjoint and ? represents the unit outward normal 0 1 to ?. Problems like (1. 1), more precisely, ? u ?? u =?f (u)in? ×(0,+?) ? tt 0 ? ? ? ? u=0 on ? ×(0,+?) 0 (1. 2) ? ? u =?g(u )?f (u)on? ×(0,+?) ? t 1 1 ? ? ? ? 0 1 u(x,0) = u (x); u (x,0) = u (x),x? ? , t were widely studied in the literature, mainly when f =0,see[6,13,22]anda 1 long list of references therein. When f =0and f = 0 this kind of problem was 0 1 well studied by Lasiecka and Tataru [15] for a very general model of nonlinear functions f (s),i=0,1, but assuming that f (s)s? 0, that is, f represents, for i i i each i, an attractive force.
Author : Giovanni Molica Bisci
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110648938
Total Pages : 191 pages
Book Rating : 4.1/5 (16 download)
Download or read book Nonlinear Problems with Lack of Compactness written by Giovanni Molica Bisci and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-02-08 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative book presents recent research results on nonlinear problems with lack of compactness. The topics covered include several nonlinear problems in the Euclidean setting as well as variational problems on manifolds. The combination of deep techniques in nonlinear analysis with applications to a variety of problems make this work an essential source of information for researchers and graduate students working in analysis and PDE's.
