On the existence of three solutions for quasilinear elliptic problem

• Autorzy: Goncerz P.
• Języki publikacji: EN

Abstrakty

EN

We consider a quasilinear elliptic problem of the type - Δpu = λ (ƒ (u)+ μg(u)) in Ω, u/∂Ω = 0, where Ω ⊂ RN is an open and bounded set, ƒ, g are continuous real functions on R and , λ, μ ∈ R. We prove the existence of at least three solutions for this problem using the so called three critical points theorem due to Ricceri.

Słowa kluczowe

EN

critical point; elliptic problem; minimax inequality; p-Laplacian; three critical points theorem; weak solution

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2012
• Tom: Vol. 32, no. 3
• Strony: 473--486
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Goncerz P.

• Jagiellonian University, Faculty of Mathematics and Computer Science, ul. Łojasiewicza 6, 30-348 Kraków, Poland,

Bibliografia

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