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Quasilinear elliptic problems with critical exponents and Hardy terms in ℝN

Part of: Elliptic equations and systems

Published online by Cambridge University Press:  12 January 2010

Dongsheng Kang
Dongsheng Kang
Affiliation:
Department of Mathematics, South-Central University For Nationalities, Wuhan 430074, People's Republic of China, Email: (dongshengkang@yahoo.com.cn)
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Abstract

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We deal with a singular quasilinear elliptic problem, which involves critical Hardy-Sobolev exponents and multiple Hardy terms. Using variational methods and analytic techniques, the existence of ground state solutions to the problem is obtained.

Keywords

quasilinear problemsolutionHardy-Sobolev inequalityvariational method

MSC classification

Secondary: 35J60: Nonlinear elliptic equations
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 53 , Issue 1 , February 2010 , pp. 175 - 193
Copyright
Copyright © Edinburgh Mathematical Society 2010