- Tytuł:
- Discontinuous quasilinear elliptic problems at resonance
- Autorzy:
-
Kourogenis, Nikolaos
Papageorgiou, Nikolaos - Powiązania:
- https://bibliotekanauki.pl/articles/966108.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
compact embedding
Poincaré's inequality
Palais-Smale condition
critical point
variational method
Mountain Pass Theorem
subdifferential
problems at resonance
locally Lipschitz functional - Opis:
- In this paper we study a quasilinear resonant problem with discontinuous right hand side. To develop an existence theory we pass to a multivalued version of the problem, by filling in the gaps at the discontinuity points. We prove the existence of a nontrivial solution using a variational approach based on the critical point theory of nonsmooth locally Lipschitz functionals.
- Źródło:
-
Colloquium Mathematicum; 1998, 78, 2; 213-223
0010-1354 - Pojawia się w:
- Colloquium Mathematicum
- Dostawca treści:
- Biblioteka Nauki
Artykuł