English

A problem involving competing and intrinsic operators

Analysis of PDEs 2023-06-21 v1

Abstract

The main result establishes the existence of a solution in a generalized sense for a nonlinear Dirichlet problem driven by a competing operator and exhibiting a convection term composed with an intrinsic operator. A finite dimensional approximation is constructed. Applications regarding nonhomogeneous Dirichlet problems and equations with convolution are given by choosing an adequate intrinsic operator.

Keywords

Cite

@article{arxiv.2306.10639,
  title  = {A problem involving competing and intrinsic operators},
  author = {Aldo H. S. Medeiros and Dumitru Motreanu},
  journal= {arXiv preprint arXiv:2306.10639},
  year   = {2023}
}
R2 v1 2026-06-28T11:08:21.532Z