Pairs of nontrivial solutions for resonant Neumann problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:398

Article

Gasinski, Leszek¹  Papageorgiou, Nikolaos S.² 

[1] Jagiellonian Univ, Fac Math & Comp Sci, PL-30348 Krakow, Poland

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

关键词: Unique continuation property;    Resonance;    Critical groups;    Morse index;    Nullity;    Linking sets;   

DOI  :  10.1016/j.jmaa.2012.09.034

来源: Elsevier

【 摘 要 】

We study a semilinear Neumann problem which is resonant at +/-infinity with respect to any eigenvalue different from the first and the second eigenvalue of -Delta(N) (the negative Neumann Laplacian). Using a combination of variational methods with Morse theoretic techniques, we show that the problem has at least two nontrivial smooth solutions. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free