Nikolaos S. Papageorgiou, Calogero Vetro, Francesca Vetro
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.
Submitted February 15, 2021. Published March 10, 2021.
Math Subject Classifications: 35J20, 35J61.
Key Words: Constant sign and nodal solutions; superlinear reaction; critical point theory; critical groups; flow invariance.
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|Nikolaos S. Papageorgiou |
National Technical University
Department of Mathematics, Zografou campus
15780, Athens, Greece
| Calogero Vetro |
University of Palermo
Department of Mathematics and Computer Science
Via Archirafi 34, 90123
| Francesca Vetro |
90123, Palermo, Italy
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