scholarly journals Asymptotic Behavior of Positive Solutions for a Class of Quasilinear Elliptic Equations in R2

2014 ◽  
Vol 57 (2) ◽  
pp. 297-317 ◽  
Author(s):  
Shinji Adachi ◽  
Masataka Shibata ◽  
Tatsuya Watanabe
Keyword(s):  
Asymptotic Behavior ◽  
Positive Solutions ◽  
Elliptic Equations ◽  
Quasilinear Elliptic Equations ◽  
Quasilinear Elliptic

Existence and Concentration of Bound States for a p-Laplacian Equation in ℝN

2010 ◽  
Vol 10 (2) ◽  
Author(s):  
Elisandra Gloss
Keyword(s):  
Asymptotic Behavior ◽  
Positive Solutions ◽  
Elliptic Equations ◽  
Bound States ◽  
Quasilinear Elliptic Equations ◽  
Laplacian Equation ◽  
Quasilinear Elliptic

AbstractWe study existence and asymptotic behavior of positive solutions for quasilinear elliptic equations of the form -ε

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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