Nonlinear eigenvalue problems for quasilinear operators on unbounded domains

Eugenio Montefusco1, Vicenţiu Rădulescu2
1Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, via Vanvitelli 1, 60123 Perugia, Italy, e-mail: [email protected], , IT
2Department of Mathematics, University of Craiova, 1100 Craiova, Romania, e-mail: [email protected], , RO

Tóm tắt

We prove several existence results for eigenvalue problems involving the p-Laplacian and a nonlinear boundary condition on unbounded domains. We treat the non-degenerate subcritical case and the solutions are found in an appropriate weighted Sobolev space.

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