Nonexistence of Positive Radial Solutions of a Quasilinear Neumann Problem with a Critical Sobolev Exponent

1997 ◽  
Vol 139 (3) ◽  
pp. 239-253 ◽  
Author(s):  
Adimurthi S. L. Yadava
Keyword(s):  
Neumann Problem ◽  
Critical Sobolev Exponent ◽  
Radial Solutions ◽  
Positive Radial Solutions ◽  
Sobolev Exponent

Multiplicity of non-radial solutions of critical elliptic problems in an annulus

2005 ◽  
Vol 135 (1) ◽  
pp. 25-37 ◽  
Author(s):  
Djairo Guedes de Figueiredo ◽  
Olímpio Hiroshi Miyagaki
Keyword(s):  
Critical Points ◽  
Elliptic Problem ◽  
Elliptic Problems ◽  
Critical Sobolev Exponent ◽  
Radial Solutions ◽  
Semilinear Elliptic Problem ◽  
Semilinear Elliptic ◽  
Sobolev Exponent ◽  
Image Position

By looking for critical points of functionals defined in some subspaces of , invariant under some subgroups of O (N), we prove the existence of many positive non-radial solutions for the following semilinear elliptic problem involving critical Sobolev exponent on an annulus, where 2* − 1 := (N + 2)/(N − 2) (N ≥ 4), the domain is an annulus and f : R+ × R+ → R is a C1 function, which is a subcritical perturbation.

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