Eigenvalue problems for anisotropic equations involving a potential on Orlicz-Sobolev type spaces

• Autorzy: Stancut I. L. , Stircu I. D.

Identyfikatory

DOI

http://dx.doi.Org/10.7494/OpMath.2016.36.l.81

• Języki publikacji: EN

Abstrakty

EN

In this paper we consider an eigenvalue problem that involves a nonhomogeneous elliptic operator, variable growth conditions and a potential Von a bounded domain in Rn (N ≥ 3) with a smooth boundary. We establish three main results with various assumptions. The first one asserts that any λ > 0 is an eigenvalue of our problem. The second theorem states the existence of a constant [formula] such that any [formula] is an eigenvalue, while the third theorem claims the existence of a constant λ* > 0 such that every λ ∈ [λ*∞) is an eigenvalue of the problem.

Słowa kluczowe

EN

anisotropic Orlicz-Sobolev space; potential; critical point; weak solution; eigenvalue

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2016
• Tom: Vol. 36, no. 1
• Strony: 81--101
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Stancut I. L.

• University of Craiova Department of Mathematics 200585 Craiova, Romania

autor

Stircu I. D.

• University of Craiova Department of Mathematics 200585 Craiova, Romania

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.