ON THE SOLVABILITY OF A NONLINEAR 2ND-ORDER ELLIPTIC EQUATION AT RESONANCE

Authors
KUO CC
Citation
Cc. Kuo, ON THE SOLVABILITY OF A NONLINEAR 2ND-ORDER ELLIPTIC EQUATION AT RESONANCE, Proceedings of the American Mathematical Society, 124(1), 1996, pp. 83-87
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
1
Year of publication
1996
Pages
83 - 87
Database
ISI
SICI code
0002-9939(1996)124:1<83:OTSOAN>2.0.ZU;2-G
Abstract
We study the existence of solutions of the Neumann problem for semilin ear second-order elliptic equations at resonance in which the nonlinea r terms may grow superlinearly in one of the directions u --> infinity and u --> -infinity, and sublinearly in the other. Solvability result s are obtained under assumptions either with or without a Landesman-La zer condition. The proofs are based on degree-theoretic arguments.