𝔖 Scriptorium
✦   LIBER   ✦

πŸ“

Methods for Analysis of Nonlinear Elliptic Boundary Value Problems

✍ Scribed by I. V. Skrypnik


Publisher
American Mathematical Society
Year
1994
Tongue
English
Leaves
362
Series
Translations of Mathematical Monographs
Category
Library

⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis


The theory of nonlinear elliptic equations is currently one of the most actively developing branches of the theory of partial differential equations. This book investigates boundary value problems for nonlinear elliptic equations of arbitrary order. In addition to monotone operator methods, a broad range of applications of topological methods to nonlinear differential equations is presented: solvability, estimation of the number of solutions, and the branching of solutions of nonlinear equations. Skrypnik establishes, by various procedures, a priori estimates and the regularity of solutions of nonlinear elliptic equations of arbitrary order. Also covered are methods of homogenization of nonlinear elliptic problems in perforated domains. The book is suitable for use in graduate courses in differential equations and nonlinear functional analysis.


πŸ“œ SIMILAR VOLUMES


Quaternionic Analysis and Elliptic Bound
✍ Klaus GΓΌrlebeck, Wolfgang Sprâßig (auth.) πŸ“‚ Library πŸ“… 1989 πŸ› BirkhΓ€user Basel 🌐 English

1. Quaternionic Analysis.- 1.1. Algebra of Real Quaternions.- 1.2. H-regular Functions.- 1.3. A Generalized LEIBNIZ Rule.- 1.4. BOREL-POMPEIU’s Formula.- 1.5. Basic Statements of H-regular Functions.- 2. Operators.- 2.3. Properties of the T-Operator.- 2.4. VEKUA’s Theorems.- 2.5. Some Integral Opera

Topological and Variational Methods for
✍ Pavel Drabek πŸ“‚ Library πŸ“… 1997 πŸ› Chapman and Hall/CRC 🌐 English

In the rapidly developing area of nonlinear theory of differential equations, many important results have been obtained by the use of nonlinear functional analysis based on topological and variational methods. The survey papers presented in this volume represent the current state of the art in the s

Harmonic Analysis Techniques for Second
✍ Carlos E. Kenig πŸ“‚ Library πŸ“… 1994 πŸ› American Mathematical Society 🌐 English

In recent years, there has been a great deal of activity in the study of boundary value problems with minimal smoothness assumptions on the coefficients or on the boundary of the domain in question. These problems are of interest both because of their theoretical importance and the implications for

Harmonic Analysis Techniques for Second
✍ Carlos E. Kenig πŸ“‚ Library πŸ“… 1994 πŸ› American Mathematical Society 🌐 English

In recent years, there has been a great deal of activity in the study of boundary value problems with minimal smoothness assumptions on the coefficients or on the boundary of the domain in question. These problems are of interest both because of their theoretical importance and the implications for