Quasilinear  systems involving  multiple  critical exponents and potentials

Dongsheng Kang

doi:10.3934/cpaa.2013.12.695

Article Contents

2013, Volume 12, Issue 2: 695-710. Doi: 10.3934/cpaa.2013.12.695

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Quasilinear systems involving multiple critical exponents and potentials

Dongsheng Kang^1,

1.
School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074

Received: July 2011

Revised: April 2012

Published: March 2013

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Abstract

In this paper, a quasilinear system of elliptic equations is investigated, which involves multiple critical Hardy--Sobolev exponents and Hardy--type terms. By variational methods and analytic technics, the existence of nontrivial solutions to the system is established.

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Mathematics Subject Classification: Primary: 35B33, 35J50; Secondary: 35J60.

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