- Tytuł:
- On the existence of five nontrivial solutions for resonant problems with p-Laplacian
- Autorzy:
-
Gasiński, Leszek
Papageorgiou, Nikolaos - Powiązania:
- https://bibliotekanauki.pl/articles/729275.pdf
- Data publikacji:
- 2010
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
p-Laplacian
Clarke subdifferential
linking sets
upper-lower solutions
second eigenvalue
nodal and constant sign solutions
second deformation theorem - Opis:
- In this paper we study a nonlinear Dirichlet elliptic differential equation driven by the p-Laplacian and with a nonsmooth potential. The hypotheses on the nonsmooth potential allow resonance with respect to the principal eigenvalue λ₁ > 0 of $(-Δₚ,W₀^{1,p}(Z))$. We prove the existence of five nontrivial smooth solutions, two positive, two negative and the fifth nodal.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2010, 30, 2; 169-189
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł