Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian-Reference-Cited by-同舟云学术

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

Published:2021-07-29 Issue:1 Volume:11 Page:304-320
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Manouni Said El¹,Marino Greta²,Winkert Patrick³

Affiliation:

1. Imam Mohammad Ibn Saud Islamic University (IMSIU), Faculty of Sciences, Department of Mathematics , Riyadh 11623 , Saudi Arabia

2. Technische Universität Chemnitz, Fakultät für Mathematik, Reichenhainer Straße 41, 09126 Chemnitz , Germany

3. Technische Universität Berlin, Institut für Mathematik , Straße des 17. Juni 136 , Berlin , Germany

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2020-0193/pdf

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