English

Strongly singular convective elliptic equations in RN driven by a non-homogeneous operator

Analysis of PDEs 2021-12-16 v1

Abstract

Existence of a generalized solution to a strongly singular convective elliptic equation in the whole space is established. The differential operator, patterned after the (p,q)-Laplacian, can be non-homogeneous. The result is obtained by solving some regularized problems through fixed point theory, variational methods and compactness results, besides exploiting nonlinear regularity theory and comparison principles.

Keywords

Cite

@article{arxiv.2112.08002,
  title  = {Strongly singular convective elliptic equations in RN driven by a non-homogeneous operator},
  author = {Laura Gambera and Umberto Guarnotta},
  journal= {arXiv preprint arXiv:2112.08002},
  year   = {2021}
}
R2 v1 2026-06-24T08:18:08.400Z