Multiple solutions for semilinear Robin problems with superlinear reaction and no symmetries
Date
2021-03-10
Authors
Papageorgiou, Nikolaos S.
Vetro, Calogero
Vetro, Francesca
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We study a semilinear Robin problem driven by the Laplacian with a parametric superlinear reaction. Using variational tools from the critical point theory with truncation and comparison techniques, critical groups and flow invariance arguments, we show the existence of seven nontrivial smooth solutions, all with sign information and ordered.
Description
Keywords
Constant sign and nodal solutions, Superlinear reaction, Critical point theory, Critical groups, Flow invariance
Citation
Papageorgiou, N. S., Vetro, C., & Vetro, F. (2021). Multiple solutions for semilinear Robin problems with superlinear reaction and no symmetries. <i>Electronic Journal of Differential Equations, 2021</i>(12), pp. 1-24.
Rights
Attribution 4.0 International