Nehari manifold approach for superlinear double phase problems with variable exponents
Analysis of PDEs
2023-08-22 v2
Abstract
In this paper we consider quasilinear elliptic equations driven by the variable exponent double phase operator with superlinear right-hand sides. Under very general assumptions on the nonlinearity, we prove a multiplicity result for such problems whereby we show the existence of a positive solution, a negative one and a solution with changing sign. The sign-changing solution is obtained via the Nehari manifold approach and, in addition, we can also give information on its nodal domains.
Cite
@article{arxiv.2211.09189,
title = {Nehari manifold approach for superlinear double phase problems with variable exponents},
author = {Ángel Crespo-Blanco and Patrick Winkert},
journal= {arXiv preprint arXiv:2211.09189},
year = {2023}
}