Semilinear Dirichlet problem involving critical exponent for the Kohn Laplacian

1995 ◽  
Vol 169 (1) ◽  
pp. 375-392 ◽  
Author(s):  
G. Citti
Keyword(s):  
Dirichlet Problem ◽  
Critical Exponent ◽  
Kohn Laplacian

MULTIPLE SOLUTIONS OF NONHOMOGENEOUS ELLIPTIC EQUATIONS WITH CRITICAL NONLINEARITY ON SYMMETRIC DOMAINS

2003 ◽  
Vol 05 (02) ◽  
pp. 147-169 ◽  
Author(s):  
MÓNICA CLAPP ◽  
OTARED KAVIAN ◽  
BERNHARD RUF
Keyword(s):  
Dirichlet Problem ◽  
Elliptic Equation ◽  
Critical Exponent ◽  
Elliptic Equations ◽  
Multiple Solutions ◽  
Symmetric Domain ◽  
Critical Nonlinearity ◽  
Symmetry Structure ◽  
The Impact

We consider the Dirichlet problem associated to the nonhomogenous elliptic equation -Δu = |u|2*-2u + f with critical exponent on a symmetric domain, and study the impact of symmetries on it. We show that a rich symmetry structure will give rise, in some cases, to many solutions.

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