Mihai Mihailescu: Eigenvalue problems for some nonlinear perturbations of the Laplace operator, p.325-337

Abstract:

The goal of this paper is to prove existence results for some eigenvalue problems in which is involved a class of nonlinear operators which perturb the Laplace operator. Our proofs rely essentially on the Banach fixed point theorem and on a minimization technique.

Key Words: Nonlinear perturbation of the Laplace operator, eigenvalue problem, principal frequency.

2000 Mathematics Subject Classification: Primary: 35P30,
Secondary: 35J60, 35J20.

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