ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS

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  • Nemat Nyamoradi1,
  • Mohsen Shekarbaigi1,
  1. Iran, Islamic Republic of

Revised: 15-04-2016

Accepted: 15-04-2016

Published in Issue 21-03-2013

How to Cite

Nyamoradi, N., & Shekarbaigi, M. (2013). ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS. International Journal of Mathematical Modelling & Computations, 3(3), 217-236. https://oiccpress.com/ijm2c/article/view/11191

Abstract

In this paper, we consider the existence of a non-trivial weaksolution to a quasilinear elliptic system involving critical Hardyexponents. The main issue of the paper is to understand thebehavior of these Palais-Smale sequences. Indeed, the principaldifficulty here is that there is an asymptotic competition betweenthe energy functional carried by the critical nonlinearities. Thenby the variational method, we obtain the existence non-trivialweek solution for the system
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