On a resonant and superlinear elliptic system

Fabiana Maria Ferreira; Francisco Odair de Paiva

doi:10.3934/dcds.2019253

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2019, Volume 39, Issue 10: 5775-5784. Doi: 10.3934/dcds.2019253

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On a resonant and superlinear elliptic system

Fabiana Maria Ferreira^1, and
Francisco Odair de Paiva^2,

1.
Universidade Federal do Espírito Santo, Departamento de Matemática, 29500-000, Alegre - ES, Brazil
2.
Universidade Federal de São Carlos, Departamento de Matemática, 13565-905, São Carlos - SP, Brazil

Received: August 2018

Published: July 2019

The first author is supported by CAPES. The second author was supported by FAPESP grant 17/16108-6.

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Abstract

We prove existence of solutions for a class of nonhomogeneous elliptic system with asymmetric nonlinearities that are resonant at −∞ and superlinear at +∞. The proof is based on topological degree arguments. A priori bounds for the solutions are obtained by adapting the method of BrezisTurner.

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Mathematics Subject Classification: Primary: 35J57; Secondary: 35J65.

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References

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