- Tytuł:
- A multiplicity theorem for parametric superlinear (p, q)-equations
- Autorzy:
-
Onete, Florin-Iulian
Papageorgiou, Nikolaos S.
Vetro, Calogero - Powiązania:
- https://bibliotekanauki.pl/articles/254965.pdf
- Data publikacji:
- 2020
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
superlinear reaction
constant sign and nodal solutions extremal solutions
nonlinear regularity
nonlinear maximum principle
critical groups - Opis:
- We consider a parametric nonlinear Robin problem driven by the sum of a p-Laplacian and of a q-Laplacian ((p, q)-equation). The reaction term is (p — 1)-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition. Using variational tools, together with truncation and comparison techniques and critical groups, we show that for all small values of the parameter, the problem has at least five nontrivial smooth solutions, all with sign information.
- Źródło:
-
Opuscula Mathematica; 2020, 40, 1; 131-149
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł