Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian

Autor:	Manouni Said El, Marino Greta, Winkert Patrick
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	convection term double phase operator multiplicity results nonlinear boundary condition robin eigenvalue problem steklov eigenvalue problem 35j15 35j62 35j92 35p30 Analysis QA299.6-433
Zdroj:	Advances in Nonlinear Analysis, Vol 11, Iss 1, Pp 304-320 (2021)
Druh dokumentu:	article
ISSN:	2191-9496 2191-950X
DOI:	10.1515/anona-2020-0193
Popis:	In this paper we study double phase problems with nonlinear boundary condition and gradient dependence. Under quite general assumptions we prove existence results for such problems where the perturbations satisfy a suitable behavior in the origin and at infinity. Our proofs make use of variational tools, truncation techniques and comparison methods. The obtained solutions depend on the first eigenvalues of the Robin and Steklov eigenvalue problems for the p-Laplacian.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/fedbac28d33e451a8cd38ff65371fd8a Zobrazit plný text záznamu View record in DOAJ