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Asymptotic Properties of Solutions to Semilinear Equations Involving Multiple Critical Exponents

  Published:2011-05-20
 Printed: Sep 2012
  • Dongsheng Kang,
    School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, P.R. China
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Abstract

In this paper, we investigate a semilinear elliptic equation that involves multiple Hardy-type terms and critical Hardy-Sobolev exponents. By the Moser iteration method and analytic techniques, the asymptotic properties of its nontrivial solutions at the singular points are investigated.
Keywords: elliptic problem, solution, Hardy-Sobolev inequality, singularity, Moser iteration elliptic problem, solution, Hardy-Sobolev inequality, singularity, Moser iteration
MSC Classifications: 35B33, 35B40, 35J60 show english descriptions Critical exponents
Asymptotic behavior of solutions
Nonlinear elliptic equations
35B33 - Critical exponents
35B40 - Asymptotic behavior of solutions
35J60 - Nonlinear elliptic equations
 

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