- Tytuł:
- Multiple solutions for nonlinear discontinuous elliptic problems near resonance
- Autorzy:
-
Kourogenis, Nikolaos
Papageorgiou, Nikolaos - Powiązania:
- https://bibliotekanauki.pl/articles/965892.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
discontinuous function
generalized directional derivative
critical point
coercive functional
multiple solutions
Clarke subdifferential
Rayleigh quotient
first eigenvalue
p-Laplacian
elliptic inclusion
nonsmooth Palais-Smale condition - Opis:
- We consider a quasilinear elliptic eigenvalue problem with a discontinuous right hand side. To be able to have an existence theory, we pass to a multivalued problem (elliptic inclusion). Using a variational approach based on the critical point theory for locally Lipschitz functions, we show that we have at least three nontrivial solutions when $λ → λ_1$ from the left, $λ_1$ being the principal eigenvalue of the p-Laplacian with the Dirichlet boundary conditions.
- Źródło:
-
Colloquium Mathematicum; 1999, 81, 1; 89-99
0010-1354 - Pojawia się w:
- Colloquium Mathematicum
- Dostawca treści:
- Biblioteka Nauki
Artykuł