On the solvability of a nonlinear second-order elliptic equation at resonance
Open Access
- 1 January 1996
- journal article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 124 (1) , 83-87
- https://doi.org/10.1090/s0002-9939-96-03145-0
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.This publication has 6 references indexed in Scilit:
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