Weakly nonlinear Dirichlet problems on long or thin domains

Bibliographic Information

Weakly nonlinear Dirichlet problems on long or thin domains

E.N. Dancer

(Memoirs of the American Mathematical Society, no. 501)

American Mathematical Society, 1993

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Note

"September 1993, volume 105, number 501 (second of 6 numbers)"

Includes bibliographical references (p. 63-66)

Description and Table of Contents

Description

The aim of this work is to develop a basic theory for nonlinear elliptic equations on long or thin domains for Dirichlet boundary conditions. This is the first treatment of such Dirichlet problems, which are of significant interest in applications.

Table of Contents

Introduction Limits of solutions on long bounded domains Construction of solutions from approximate solutions The end equation On the unstable solutions Some examples References.

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