Nonhomogeneous systems involving critical or subcritical nonlinearities
Analysis of PDEs
2020-03-09 v1
Abstract
This paper deals with existence of a nontrivial positive solution to systems of equations involving nontrivial nonhomogeneous terms and critical or subcritical nonlinearities. Via a minimization argument we prove existence of a positive solution whose energy is negative provided that the nonhomogeneous terms are small enough in the dual norm.
Cite
@article{arxiv.2003.03067,
title = {Nonhomogeneous systems involving critical or subcritical nonlinearities},
author = {Mousomi Bhakta and Souptik Chakraborty and Patrizia Pucci},
journal= {arXiv preprint arXiv:2003.03067},
year = {2020}
}
Comments
11 pages