Nikolaos S. Papageorgiou, Calogero Vetro, Francesca Vetro
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.
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.
DOI: https://doi.org/10.58997/ejde.2021.12
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| Nikolaos S. Papageorgiou National Technical University Department of Mathematics, Zografou campus 15780, Athens, Greece email: npapg@math.ntua.gr | |
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Calogero Vetro University of Palermo Department of Mathematics and Computer Science Via Archirafi 34, 90123 Palermo, Italy email: calogero.vetro@unipa.it |
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Francesca Vetro 90123, Palermo, Italy email: francescavetro80@gmail.com |
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