Solutions for Semilinear Elliptic Systems with Critical Sobolev Exponent and Hardy Potential
Canadian journal of mathematics, Tome 62 (2010) no. 1, pp. 19-33
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In this paper we consider an elliptic system with an inverse square potential and critical Sobolev exponent in a bounded domain of ${{\mathbb{R}}^{N}}$ . By variational methods we study the existence results.
Mots-clés :
critical Sobolev exponent, Palais–Smale condition, Linking theorem, Hardy potential
Bouchekif, Mohammed; Nasri, Yasmina. Solutions for Semilinear Elliptic Systems with Critical Sobolev Exponent and Hardy Potential. Canadian journal of mathematics, Tome 62 (2010) no. 1, pp. 19-33. doi: 10.4153/CJM-2010-002-9
@article{10_4153_CJM_2010_002_9,
author = {Bouchekif, Mohammed and Nasri, Yasmina},
title = {Solutions for {Semilinear} {Elliptic} {Systems} with {Critical} {Sobolev} {Exponent} and {Hardy} {Potential}},
journal = {Canadian journal of mathematics},
pages = {19--33},
year = {2010},
volume = {62},
number = {1},
doi = {10.4153/CJM-2010-002-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-002-9/}
}
TY - JOUR AU - Bouchekif, Mohammed AU - Nasri, Yasmina TI - Solutions for Semilinear Elliptic Systems with Critical Sobolev Exponent and Hardy Potential JO - Canadian journal of mathematics PY - 2010 SP - 19 EP - 33 VL - 62 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-002-9/ DO - 10.4153/CJM-2010-002-9 ID - 10_4153_CJM_2010_002_9 ER -
%0 Journal Article %A Bouchekif, Mohammed %A Nasri, Yasmina %T Solutions for Semilinear Elliptic Systems with Critical Sobolev Exponent and Hardy Potential %J Canadian journal of mathematics %D 2010 %P 19-33 %V 62 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-002-9/ %R 10.4153/CJM-2010-002-9 %F 10_4153_CJM_2010_002_9
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