Anisotropic $(p,q)$-equations with gradient dependent reaction
Analysis of PDEs
2021-07-01 v1
Abstract
We consider a Dirichlet problem driven by the anisotropic -Laplacian and a reaction with gradient dependence (convection). The presence of the gradient in the source term excludes from consideration a variational approach in dealing with the qualitative analysis of this problem with unbalanced growth. Using the frozen variable method and eventually a fixed point theorem, the main result of this paper establishes that the problem has a positive smooth solution.
Keywords
Cite
@article{arxiv.2106.15914,
title = {Anisotropic $(p,q)$-equations with gradient dependent reaction},
author = {Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu and Dušan D. Repovš},
journal= {arXiv preprint arXiv:2106.15914},
year = {2021}
}