Differential and Integral Equations

Quasilinear elliptic systems convex-concave singular terms and $\Phi$-Laplacian operator

José V. Gonçalves, Marcos L. Carvalho, and Carlos Alberto Santos

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This paper deals with the existence of positive solutions for a class of quasilinear elliptic systems involving the $\Phi$-Laplacian operator and convex-concave singular terms. Our approach is based on the generalized Galerkin Method along with perturbation techniques and comparison arguments in the setting of Orlicz-Sobolev spaces.

Article information

Differential Integral Equations, Volume 31, Number 3/4 (2018), 231-256.

First available in Project Euclid: 19 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J25: Boundary value problems for second-order elliptic equations 35J57: Boundary value problems for second-order elliptic systems 35J75: Singular elliptic equations 35M30: Systems of mixed type


Gonçalves, José V.; Carvalho, Marcos L.; Santos, Carlos Alberto. Quasilinear elliptic systems convex-concave singular terms and $\Phi$-Laplacian operator. Differential Integral Equations 31 (2018), no. 3/4, 231--256. https://projecteuclid.org/euclid.die/1513652425

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