Multiple solutions for semilinear Robin problems with superlinear reaction and no symmetries

Electronic Journal of Differential Equations

article

Nikolaos S. Papageorgiou¹  Calogero Vetro²  Francesca Vetro³ 

[1] National Technical University Department of Mathematics, Zografou campus 15780;University of Palermo Department of Mathematics and Computer Science Via Archirafi 34;90123

关键词: Constant sign and nodal solutions;    superlinear reaction;    critical point theory;    critical groups;    flow invariance.;   

DOI  :  10.58997/ejde.2021.12

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

We study a semilinear Robin problem driven by the Laplacian with a parametricsuperlinear reaction. Using variational tools from the critical point theorywith truncation and comparison techniques, critical groups and flowinvariance arguments, we show the existence of seven nontrivial smooth solutions,all with sign information and ordered.

【 授权许可】

CC BY