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Existence of solutions for critical systems with variable exponents

    Hadjira Lalilia Affiliation
    ; Saadia Tas Affiliation
    ; Ali Djellit Affiliation

Abstract

In this work, we deal with elliptic systems under critical growth conditions on the nonlinearities. Using a variant of concentration-compactness principle, we prove an existence result.

Keyword : p(x)-Laplacian, generalized Sobolev spaces, critical Sobolev exponents, concentration-compactness principle, critical points theory

How to Cite
Lalilia, H., Tas, S., & Djellit, A. (2018). Existence of solutions for critical systems with variable exponents. Mathematical Modelling and Analysis, 23(4), 596-610. https://doi.org/10.3846/mma.2018.036
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Oct 9, 2018
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