ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS

Authors

  • Mohsen Shekarbaigi Iran, Islamic Republic of
  • Nemat Nyamoradi Iran, Islamic Republic of
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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Journal title

volume 3  issue 3 (SUMMER)

pages  217- 236

publication date 2013-03-21

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