Existence results for double phase problems depending on Robin and Steklov eigenvalues for the $p$-Laplacian
Analysis of PDEs
2021-05-19 v2
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 existence of the obtained solutions depends on the first eigenvalues of the Robin and Steklov eigenvalue problems for the -Laplacian.
Cite
@article{arxiv.2012.03302,
title = {Existence results for double phase problems depending on Robin and Steklov eigenvalues for the $p$-Laplacian},
author = {Said El Manouni and Greta Marino and Patrick Winkert},
journal= {arXiv preprint arXiv:2012.03302},
year = {2021}
}