L. Barbu†, G. Moroșanu‡
Abstract: In this paper we consider in a bounded domain Ω ⊂ R N a Steklovlike eigenvalue problem involving the (p, q)-Laplacian plus some potentials. Under suitable assumptions, using the Nehari manifold method and a variational approach, we are able to determine the full eigenvalue set of this problem as being an open interval (λ∗, +∞) with λ∗ > 0.
MSC: 35J60, 35J92, 35P30
keywords: Eigenvalues, (p, q)-Laplacian, Sobolev spaces, Nehari manifold, variational method.
DOI 10.56082/annalsarscimath.2023.1-2.30
†lbarbu@univ-ovidius.ro Ovidius University, Faculty of Mathematics and Informatics, 124 Mamaia Blvd., 900527 Constant¸a, Romania;
†morosanu@math.ubbcluj.ro Babe¸s-Bolyai University, Faculty of Mathematics and Computer Science, 1 Mihail Kogˇalniceanu Str., 400084 Cluj-Napoca, Romania and Academy of Romanian Scientists, 3 Ilfov Str., Sector 5, Bucharest
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 15 no 1-2, 2023
