On the solvability of a nonlinear second-order elliptic equation at resonance-Reference-Cited by-同舟云学术

On the solvability of a nonlinear second-order elliptic equation at resonance

Published:1996 Issue:1 Volume:124 Page:83-87
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kuo Chung-Cheng

Abstract

We study the existence of solutions of the Neumann problem for semilinear second-order elliptic equations at resonance in which the nonlinear terms may grow superlinearly in one of the directions u → ∞ u\to \infty and u → − ∞ u\to -\infty , and sublinearly in the other. Solvability results are obtained under assumptions either with or without a Landesman-Lazer condition. The proofs are based on degree-theoretic arguments.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-01/S0002-9939-96-03145-0/S0002-9939-96-03145-0.pdf

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