Nonvariational and singular double phase problems for the Baouendi-Grushin operator
Analysis of PDEs
2021-10-01 v1
Abstract
In this paper we introduce a new double phase Baouendi-Grushin type operator with variable coefficients. We give basic properties of the corresponding functions space and prove a compactness result. In the second part, using topological argument, we prove the existence of weak solutions of some nonvariational problems in which this new operator is present. The present paper extends and complements some of our previous contributions related to double phase anisotropic variational integrals.
Keywords
Cite
@article{arxiv.2109.15029,
title = {Nonvariational and singular double phase problems for the Baouendi-Grushin operator},
author = {Anouar Bahrouni and Vicenţiu D. Rădulescu and Dušan D. Repovš},
journal= {arXiv preprint arXiv:2109.15029},
year = {2021}
}