NONLOCAL EIGENVALUE PROBLEMS WITH INDEFINITE WEIGHT
Open Access
- 1 January 2020
- journal article
- research article
- Published by National Pedagogical Dragomanov University in Methods of Functional Analysis and Topology
- Vol. 26 (3), 283-294
- https://doi.org/10.31392/MFAT-npu26_3.2020.09
Abstract
In the present paper, we consider a class of eigenvalue problems driven by a nonlocal integro-differential operator L-K(p(x)) with Dirichlet boundary conditions. Under certain assumptions on p and q, we establish that any lambda > 0 suficiently small is an eigenvalue of the nonhomogeneous nonlocal problem (P-lambda).This publication has 15 references indexed in Scilit:
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