July/August 2020 Nonhomogeneous systems involving critical or subcritical nonlinearities
Mousomi Bhakta, Souptik Chakraborty, Patrizia Pucci
Differential Integral Equations 33(7/8): 323-336 (July/August 2020). DOI: 10.57262/die/1594692052

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.

Citation

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Mousomi Bhakta. Souptik Chakraborty. Patrizia Pucci. "Nonhomogeneous systems involving critical or subcritical nonlinearities." Differential Integral Equations 33 (7/8) 323 - 336, July/August 2020. https://doi.org/10.57262/die/1594692052

Information

Published: July/August 2020
First available in Project Euclid: 14 July 2020

zbMATH: 07250697
MathSciNet: MR4122508
Digital Object Identifier: 10.57262/die/1594692052

Subjects:
Primary: 35A15 , 35B33 , 35J47 , 35J50 , 35J60 , 35R11

Rights: Copyright © 2020 Khayyam Publishing, Inc.

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Vol.33 • No. 7/8 • July/August 2020
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