scholarly journals Effect of topology on the multiplicity of solutions for some semilinear elliptic systems with critical Sobolev exponent

2009 ◽  
Vol 16 (3) ◽  
pp. 283-296 ◽  
Author(s):  
Michinori Ishiwata
Keyword(s):  
Elliptic Systems ◽  
Critical Sobolev Exponent ◽  
Semilinear Elliptic Systems ◽  
Multiplicity Of Solutions ◽  
Semilinear Elliptic ◽  
Sobolev Exponent

Solutions for Semilinear Elliptic Systems with Critical Sobolev Exponent and Hardy Potential

2010 ◽  
Vol 62 (1) ◽  
pp. 19-33
Author(s):  
Mohammed Bouchekif ◽  
Yasmina Nas
Keyword(s):  
Variational Methods ◽  
Elliptic System ◽  
Bounded Domain ◽  
Elliptic Systems ◽  
Critical Sobolev Exponent ◽  
Existence Results ◽  
Hardy Potential ◽  
Semilinear Elliptic Systems ◽  
Semilinear Elliptic ◽  
Sobolev Exponent

AbstractIn this paper we consider an elliptic system with an inverse square potential and critical Sobolev exponent in a bounded domain of ℝN. By variational methods we study the existence results.

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