scholarly journals Positive solutions of quasilinear elliptic equations in exterior domains

1980 ◽  
Vol 75 (1) ◽  
pp. 121-133 ◽  
Author(s):  
E.S Noussair ◽  
C.A Swanson
Keyword(s):  
Positive Solutions ◽  
Elliptic Equations ◽  
Quasilinear Elliptic Equations ◽  
Exterior Domains ◽  
Quasilinear Elliptic

scholarly journals Existence of positive solutions of quasilinear elliptic equations

1996 ◽  
Vol 54 (1) ◽  
pp. 147-154 ◽  
Author(s):  
Adrian Constantin
Keyword(s):  
Positive Solution ◽  
Positive Solutions ◽  
Elliptic Equations ◽  
Quasilinear Elliptic Equations ◽  
Exterior Domains ◽  
Existence Of Positive Solutions ◽  
Quasilinear Elliptic

We prove under quite general assumptions the existence of a positive solution to the equation Δu + f(x, u) + g(x)x.∇u = 0 in exterior domains of Rn (n ≥ 3).

scholarly journals Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy-Sobolev Exponents and Concave-Convex Nonlinearities

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Tsing-San Hsu ◽  
Huei-Li Lin
Keyword(s):  
Variational Methods ◽  
Positive Solutions ◽  
Elliptic Equations ◽  
Quasilinear Elliptic Equations ◽  
Analysis Techniques ◽  
Multiplicity Of Positive Solutions ◽  
Quasilinear Elliptic

By variational methods and some analysis techniques, the multiplicity of positive solutions is obtained for a class of weighted quasilinear elliptic equations with critical Hardy-Sobolev exponents and concave-convex nonlinearities.

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