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Methods for Analysis of Nonlinear Elliptic Boundary Value Problems

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Description

Explore the advanced theory of nonlinear elliptic equations through this specialized mathematical monograph. As one of the most active branches of partial differential equations, this text provides a deep investigation into boundary value problems for nonlinear elliptic equations of arbitrary order. This book serves as a comprehensive resource for researchers and students in mathematical analysis. It covers monotone operator methods and presents a wide range of applications using topological methods. Readers will gain insights into the solvability of equations, the estimation of the number of solutions, and the branching of solutions within nonlinear systems. By following various procedures established by Skrypnik, you can study a priori estimates and the regularity of solutions. This work is an essential addition to any collection focused on differential equations and mathematical analysis, providing the theoretical foundation necessary for advanced study in the field.

Key Features

Covers nonlinear elliptic equations of arbitrary order to support advanced research in partial differential equations.

Includes monotone operator methods and topological methods for a broad understanding of nonlinear differential equations.

Provides detailed analysis on the solvability and the estimation of the number of solutions for complex equations.

Explores the branching of solutions of nonlinear equations through established mathematical procedures.

Examines a priori estimates and the regularity of solutions as established by Skrypnik.

Part of the Translations of Mathematical Monographs series for high-level academic study.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
08 December 1994
Listed Since
17 October 2006

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