5 edition of analysis of solutions of elliptic equations found in the catalog.
Includes bibliographical references (p. 451-471) and indexes.
|Statement||by Nikolai N. Tarkhanov.|
|Series||Mathematics and its applications ;, v. 406, Mathematics and its applications (Kluwer Academic Publishers) ;, v. 406.|
|LC Classifications||QA331 .T2713 1997|
|The Physical Object|
|Pagination||xx, 479 p. ;|
|Number of Pages||479|
|LC Control Number||97008148|
The First Geometrie Maximum Principle for General Quasilinear Elliptic Equations and Linear Elliptic Equations of the Form.- The Improvement of Estimates () for Solutions of General Quasilinear Elliptic Equations Depending on Properties of the Functions det(aik(x,u,p)) and b (x,u,p).- In, for a class of quasilinear Schrödinger equations with critical exponent, X. Liu, J. Liu, Z.-Q. Wang established the existence of both one-sign and nodal ground states by the Nehari method. It is established in the existence of solutions for a class of asymptotically periodic quasilinear elliptic equations in ℝ N with critical growth.
A powerful method for the study of elliptic boundary value problems, capable of further extensive development, is provided for advanced undergraduates or beginning graduate students, as well as mathematicians with an interest in functional analysis and partial differential equations. () Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder. ZAMP Zeitschrift f r angewandte Mathematik und Physik , () ON QUALITATIVE PROPERTIES OF SOLUTIONS OF A NONLINEAR EQUATION OF SECOND ORDER.
The book begins with some preliminary mathematics for matrices. It then discusses finite difference methods and parabolic equations, which will interest the readers of this list. However, it also discusses hyperbolic equations, with basic solution methods. The book then continues with elliptic problems with solutions of sparse matrix systems. The equations considered in the book are linear; however, the presented methods also apply to nonlinear problems. This second edition has been thoroughly revised and in a new chapter the authors discuss several methods for proving the existence of solutions of primarily the Dirichlet problem for various types of elliptic equations.
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The greater part of the material presented is related to applications of the L- rent series for a solution of a system of differential equations, which is a convenient way of writing the Green formula. The culminating application is an analog of the theorem of Vitushkin  for uniform and mean approximation by solutions of an elliptic by: The greater part of the material presented is related to applications of the L- rent series for a solution of a system of differential equations, which is a convenient way of writing the Green formula.
The culminating application is an analog of the theorem of Vitushkin  for uniform and mean approximation by solutions of an elliptic system. The analysis of solutions of elliptic equations. [N N Tarkhanov] -- This volume focuses on the analysis of solutions to general elliptic equations.
A wide range of topics is touched upon, such as removable singularities, Laurent expansions, approximation by. The primary objective of this book is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of weak solutions of second-order elliptic quasilinear equations in divergence by: Get this from a library.
The Analysis of Solutions of Elliptic Equations. [Nikolai N Tarkhanov] -- This volume focuses on the analysis of solutions to general elliptic equations.
A wide range of topics is touched upon, such as removable singularities, Laurent expansions, approximation by. “This book is a valuable reference book for specialists in the field and an excellent graduate text giving an overview of the literature on solutions of semilinear elliptic equations.
the book should be strongly recommended to anyone, either graduate student or researcher, who is interested in variational methods and their applications to partial differential equations of elliptic type.” (Vicenţiu D. Geometric Theory of Elliptic Solutions of Monge-Ampere Equations. Front Matter.
differential equations and functional analysis as well as other areas of research in mathematics were successfully applied towards the complete solution of com plex problems in nonlinear analysis.
It is not possible to encompass in the scope of one book all. 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. to multivalued boundary value problems. We develop in this book abstract results in the following three directions: the maximum principle for nonlinear elliptic equations, the implicit function theorem, and the critical point theory.
In the ﬁrst category, we are concerned with the method of lower and upper solutions, which is the basic mono. In this book, we are concerned with some basic monotonicity, analytic, and varia-tional methods which are directly related to the theory of nonlinear partial diﬀerential equations of elliptic type.
The abstract theorems are applied both to single-valued and to multivalued boundary value problems. We develop in this book abstract results in.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATI () Pairs of Positive Solutions of Elliptic Partial Differential Equations with Discontinuous Nonlinearities JACQUES DOUCHET ole Polytechnique Fale de Lausanne, 61, avenue de Cour, Lausanne, Switzerland Submitted by J.
Lions 1. Asymptotic Behavior of Blowup Solutions for Elliptic Equations with Exponential Nonlinearity and Singular Data. The blowup analysis for () near 0 reﬂects the bubblin g feature of a few im. () Abundance of entire solutions to nonlinear elliptic equations by the variational method.
Nonlinear Analysis() Positive and nodal solutions of. Bruce K. Driver Analysis Tools with Applications, SPIN Springer’s internal project number, if known June 9, File: Springer Berlin Heidelberg NewYork. 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. Daniel Daners, in Handbook of Differential Equations: Stationary Partial Differential Equations, Abstract.
This is a survey on elliptic boundary value problems on varying domains and tools needed for that. Such problems arise in numerical analysis, in shape optimisation problems and in the investigation of the solution structure of nonlinear elliptic equations.
An in-depth monograph on Morse index techniques for nonlinear elliptic equations Discusses the connections of the Morse index with the maximum principle Studies several qualitative properties of solutions like well-posedness, symmetry, etc.
Book: Partial Differential Equations (Miersemann) Elliptic Equations of Second Order Expand/collapse global location 7.E: Elliptic Equations of Second Order (Exercises) the California State University Affordable Learning Solutions Program, and Merlot.
We also acknowledge previous National Science Foundation support under grant numbers. linear elliptic equations, as w ell as the necessary t ools on Sobole v spaces.
In this book, we a r e c o nc er ned w ith some b asic monotonicity, analyti c, and v aria. EJDE/ BIFURCATION ANALYSIS OF ELLIPTIC EQUATIONS 3 with the associated Luxemburg norm juj p(x) = inf >0: Z j u(x) jp(x) dx 1 According to , Lp(x)() is re exive if and only if 1.
Namely, the fact that two distinct solutions to some (non-linear) elliptic equation (of an appropriate form) can only agree at a point to finite order. This unique continuation property--which is strictly weaker than analyticity--actually holds for quite a general class of elliptic equations.tial equations and their solutions.
The object of this book is not to teach novel techniques but to provide a handy reference to many popular techniques. All of the techniques included are elementary in the usual mathematical sense; because this book is designed to be functional it does not include many abstract methods of limited applicability.Morse Index of Solutions of Nonlinear Elliptic Equations by Lucio Damascelli,available at Book Depository with free delivery worldwide.