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arXiv · 2003.03067

Nonhomogeneous systems involving critical or subcritical nonlinearities

Mousomi Bhakta·Souptik Chakraborty·Patrizia Pucci
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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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Mousomi Bhakta, Souptik Chakraborty, Patrizia Pucci. 2020-03-06. Nonhomogeneous systems involving critical or subcritical nonlinearities. https://arxiv.org/abs/2003.03067

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