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## Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2010 | 30 | 2 | 169-189
Tytuł artykułu

### On the existence of five nontrivial solutions for resonant problems with p-Laplacian

Autorzy
Treść / Zawartość
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Języki publikacji
EN
Abstrakty
EN
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.
Słowa kluczowe
EN
Kategorie tematyczne
Rocznik
Tom
Numer
Strony
169-189
Opis fizyczny
Daty
wydano
2010
otrzymano
2009-11-24
Twórcy
autor
• Jagiellonian University, Institute of Computer Science, Poland
• National Technical University, Department of Mathematics, Greece
Bibliografia
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