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Existence of critical elliptic systems with boundary singularities

In this paper, we are concerned with the existence of positive solutions of the following nonlinear elliptic system involving critical Hardy-Sobolev exponent \begin{equation*}\label{eq:1}(*) \left\{ \begin{array}{lll} -\Delta u= \frac{2\alpha}{\alpha+\beta}\frac{u^{\alpha-1}v^\beta}{|x|^s}-\lambda u...

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Bibliografske podrobnosti
Main Authors: Jianfu Yang, Yimin Zhou
Format: Artigo
Jezik:Inglês
Izdano: AGH Univeristy of Science and Technology Press 2013-01-01
Serija:Opuscula Mathematica
Teme:
Online dostop:http://www.opuscula.agh.edu.pl/vol33/2/art/opuscula_math_3324.pdf
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