Nonhomogeneous systems involving critical or subcritical nonlinearities

2020/03/06 by Bhakta, Mousomi, Chakraborty, Souptik, Pucci, Patrizia · 1 citation
#35A15 #35B33 #35J47 #35J50 #35J60 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2003.03067

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.

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• Non variational type critical growth nonlocal system

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