Nontrivial Solutions of a Class of Quasilinear Elliptic Problems Involving Critical Exponents

2003 ◽  
pp. 225-238
Author(s):  
C. O. Alves ◽  
P. C. Carrião ◽  
O. H. Miyagaki
Keyword(s):  
Critical Exponents ◽  
Elliptic Problems ◽  
Nontrivial Solutions ◽  
Quasilinear Elliptic Problems ◽  
Quasilinear Elliptic

Quasilinear elliptic problems with critical exponents and Hardy terms in ℝN

2010 ◽  
Vol 53 (1) ◽  
pp. 175-193 ◽  
Author(s):  
Dongsheng Kang
Keyword(s):  
Variational Methods ◽  
Elliptic Problem ◽  
Critical Exponents ◽  
Ground State ◽  
Elliptic Problems ◽  
Ground State Solutions ◽  
Quasilinear Elliptic Problem ◽  
Quasilinear Elliptic Problems ◽  
Quasilinear Elliptic

AbstractWe deal with a singular quasilinear elliptic problem, which involves critical Hardy-Sobolev exponents and multiple Hardy terms. Using variational methods and analytic techniques, the existence of ground state solutions to the problem is obtained.

Quasilinear elliptic problems with critical exponents

1993 ◽  
Vol 20 (3) ◽  
pp. 285-301 ◽  
Author(s):  
Ezzat S. Noussair ◽  
Charles A. Swanson ◽  
Yang Jianfu
Keyword(s):  
Critical Exponents ◽  
Elliptic Problems ◽  
Quasilinear Elliptic Problems ◽  
Quasilinear Elliptic

ON A CLASS OF QUASILINEAR ELLIPTIC PROBLEMS INVOLVING CRITICAL EXPONENTS

2000 ◽  
Vol 02 (01) ◽  
pp. 47-59 ◽  
Author(s):  
D. G. de FIGUEIREDO ◽  
J. V. GONÇALVES ◽  
O. H. MIYAGAKI
Keyword(s):  
Positive Solutions ◽  
Critical Exponents ◽  
Mountain Pass Theorem ◽  
Elliptic Problems ◽  
Mountain Pass ◽  
Real Numbers ◽  
Critical Sobolev Exponents ◽  
Existence Of Positive Solutions ◽  
Quasilinear Elliptic Problems ◽  
Quasilinear Elliptic

This paper deals with the following class of quasilinear elliptic problems in radial form [Formula: see text] where α, β, δ, ℓ, γ, q are given real numbers, λ > 0 is a parameter and 0 < R < ∞. Some results on the existence of positive solutions are obtained by combining the Mountain Pass Theorem with an argument used by Brézis and Nirenberg to overcome the lack of compactness due to the presence of critical Sobolev exponents.

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