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Author : J. A. Blat-Gimeno
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (593 download)
Download or read book Positive Solutions of Some Systems of Semilinear Elliptic Equations written by J. A. Blat-Gimeno and published by . This book was released on 1984 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Philip Korman
Publisher : World Scientific
ISBN 13 : 9814374350
Total Pages : 254 pages
Book Rating : 4.8/5 (143 download)
Download or read book Global Solution Curves for Semilinear Elliptic Equations written by Philip Korman and published by World Scientific. This book was released on 2012 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set. This understanding opens the way to efficient computation of all solutions. Detailed results are obtained in case of circular domains, and some results for general domains are also presented. The author is one of the original contributors to the field of exact multiplicity results.
Author : W.-M. Ni
Publisher : Springer
ISBN 13 :
Total Pages : 384 pages
Book Rating : 4.3/5 (91 download)
Download or read book Nonlinear Diffusion Equations and Their Equilibrium States I written by W.-M. Ni and published by Springer. This book was released on 1988-06-24 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years considerable interest has been focused on nonlinear diffu sion problems, the archetypical equation for these being Ut = D.u + f(u). Here D. denotes the n-dimensional Laplacian, the solution u = u(x, t) is defined over some space-time domain of the form n x [O,T], and f(u) is a given real function whose form is determined by various physical and mathematical applications. These applications have become more varied and widespread as problem after problem has been shown to lead to an equation of this type or to its time-independent counterpart, the elliptic equation of equilibrium D.u + f(u) = o. Particular cases arise, for example, in population genetics, the physics of nu clear stability, phase transitions between liquids and gases, flows in porous media, the Lend-Emden equation of astrophysics, various simplified com bustion models, and in determining metrics which realize given scalar or Gaussian curvatures. In the latter direction, for example, the problem of finding conformal metrics with prescribed curvature leads to a ground state problem involving critical exponents. Thus not only analysts, but geome ters as well, can find common ground in the present work. The corresponding mathematical problem is to determine how the struc ture of the nonlinear function f(u) influences the behavior of the solution.
Author : Joseph Glover
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (227 download)
Download or read book Positive Solutions of Systems of Semilinear Elliptic Equations: The Pendulum Method written by Joseph Glover and published by . This book was released on 1986 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conditions are formulated which guarantee the existence of positive solutions for simultaneous systems on an open domain with each constant is a positive measure. The main tools used are probabilistic potential theory, Markov processes, and an iterative scheme which is not a generalization of the one used for quasi-monotone systems. Quasi-monotonicity is not assumed and new results are obtained.
Author : Philip Korman
Publisher : World Scientific
ISBN 13 : 9814458066
Total Pages : 254 pages
Book Rating : 4.8/5 (144 download)
Download or read book Global Solution Curves For Semilinear Elliptic Equations written by Philip Korman and published by World Scientific. This book was released on 2012-02-10 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set. This understanding opens the way to efficient computation of all solutions. Detailed results are obtained in case of circular domains, and some results for general domains are also presented.The author is one of the original contributors to the field of exact multiplicity results.
Author : Xuejin Zhao
Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.:/5 (424 download)
Download or read book Existence and Bifurcation of Multiple Positive Solutions for Some Semilinear Elliptic Equations written by Xuejin Zhao and published by . This book was released on 1998 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shinji Kawano
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (931 download)
Download or read book Uniqueness of Positive Solutions to Semilinear Elliptic Equations with Double Power Nonlinearities written by Shinji Kawano and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 5 pages
Book Rating : 4.:/5 (683 download)
Download or read book A Remark on the Uniqueness of Positive Solutions to Semilinear Elliptic Equations with Double Power Nonlinearities written by and published by . This book was released on 2009 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marino Badiale
Publisher : Springer Science & Business Media
ISBN 13 : 0857292277
Total Pages : 204 pages
Book Rating : 4.8/5 (572 download)
Download or read book Semilinear Elliptic Equations for Beginners written by Marino Badiale and published by Springer Science & Business Media. This book was released on 2010-12-07 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semilinear elliptic equations are of fundamental importance for the study of geometry, physics, mechanics, engineering and life sciences. The variational approach to these equations has experienced spectacular success in recent years, reaching a high level of complexity and refinement, with a multitude of applications. Additionally, some of the simplest variational methods are evolving as classical tools in the field of nonlinear differential equations. This book is an introduction to variational methods and their applications to semilinear elliptic problems. Providing a comprehensive overview on the subject, this book will support both student and teacher engaged in a first course in nonlinear elliptic equations. The material is introduced gradually, and in some cases redundancy is added to stress the fundamental steps in theory-building. Topics include differential calculus for functionals, linear theory, and existence theorems by minimization techniques and min-max procedures. Requiring a basic knowledge of Analysis, Functional Analysis and the most common function spaces, such as Lebesgue and Sobolev spaces, this book will be of primary use to graduate students based in the field of nonlinear partial differential equations. It will also serve as valuable reading for final year undergraduates seeking to learn about basic working tools from variational methods and the management of certain types of nonlinear problems.
Author : Michel Chipot
Publisher : Elsevier
ISBN 13 : 0080560598
Total Pages : 618 pages
Book Rating : 4.0/5 (85 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 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
Author : P. L. Lions
Publisher :
ISBN 13 :
Total Pages : 51 pages
Book Rating : 4.:/5 (227 download)
Download or read book On the Existence of Positive Solutions of Semilinear Elliptic Equations written by P. L. Lions and published by . This book was released on 1981 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we study the existence of positive solutions of semilinear elliptic equations. Various possible behaviors of the nonlinearity are considered and in each case nearly optimal multiplicity results are obtained. The results are also interpreted in terms of bifurcation diagrams. (Author).
Author : Reiner Lauterbach
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (256 download)
Download or read book Symmetry Breaking at Non-positive Solutions of Semilinear Elliptic Equations written by Reiner Lauterbach and published by . This book was released on 1992 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ph Clément
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (461 download)
Download or read book Positive Solutions of Semilinear Elliptic Systems written by Ph Clément and published by . This book was released on 1991 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ilya Kuzin
Publisher : Birkhauser
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.3/5 (91 download)
Download or read book Entire Solutions of Semilinear Elliptic Equations written by Ilya Kuzin and published by Birkhauser. This book was released on 1997 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semilinear elliptic equations play an important role in many areas of mathematics and its applications to physics and other sciences. This book presents a wealth of modern methods to solve such equations, including the systematic use of the Pohozaev identities for the description of sharp estimates for radial solutions and the fibring method. Existence results for equations with supercritical growth and non-zero right-hand sides are given.Readers of this exposition will be advanced students and researchers in mathematics, physics and other sciences who want to learn about specific methods to tackle problems involving semilinear elliptic equations.
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 : Wang Mingxin
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (897 download)
Download or read book The Existence of Positive Solutions for Semilinear Elliptic System written by Wang Mingxin and published by . This book was released on 1990 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. Lauterbach
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (897 download)
Download or read book Symmetry-breaking at Non-positive Solutions of Semilinear Elliptic Equations written by R. Lauterbach and published by . This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
