Existence and uniqueness results for double phase problems with convection term
Analysis of PDEs
2019-10-28 v2
Abstract
In this paper we consider quasilinear elliptic equations with double phase phenomena and a reaction term depending on the gradient. Under quite general assumptions on the convection term we prove the existence of a weak solution by applying the theory of pseudomonotone operators. Imposing some linear conditions on the gradient variable the uniqueness of the solution is obtained.
Cite
@article{arxiv.1905.01174,
title = {Existence and uniqueness results for double phase problems with convection term},
author = {Leszek Gasinski and Patrick Winkert},
journal= {arXiv preprint arXiv:1905.01174},
year = {2019}
}