Existence and asymptotic behavior of entire blow-up solutions for quasilinear elliptic equation

2007 ◽  
Vol 86 (12) ◽  
pp. 1455-1461
Author(s):  
Yong Zhang ◽  
Peihao Zhao
Keyword(s):  
Asymptotic Behavior ◽  
Elliptic Equation ◽  
Quasilinear Elliptic Equation ◽  
Blow Up ◽  
Quasilinear Elliptic

Asymptotic Properties of Ground States of Quasilinear Schrödinger Equations With H1-Subcritical Exponent

2012 ◽  
Vol 12 (2) ◽  
Author(s):  
Shinji Adachi ◽  
Tatsuya Watanabe
Keyword(s):  
Asymptotic Behavior ◽  
Elliptic Equation ◽  
Plasma Physics ◽  
Ground State ◽  
Quasilinear Elliptic Equation ◽  
Asymptotic Properties ◽  
Radial Solutions ◽  
Dual Approach ◽  
Positive Radial Solutions ◽  
Quasilinear Elliptic

AbstractWe are concerned with the asymptotic behavior of positive radial solutions for a class of quasilinear elliptic equation arising from plasma physics. By the variational argument and dual approach, we show the asymptotic uniqueness and non-degeneracy of the ground state.

scholarly journals Eigenvalue problems for a quasilinear elliptic equation onℝN

2005 ◽  
Vol 2005 (18) ◽  
pp. 2871-2882 ◽  
Author(s):  
Marilena N. Poulou ◽  
Nikolaos M. Stavrakakis
Keyword(s):  
Elliptic Equation ◽  
Weight Function ◽  
Quasilinear Elliptic Equation ◽  
Eigenvalue Problems ◽  
Principal Eigenvalue ◽  
Laplacian Operator ◽  
Quasilinear Elliptic

We prove the existence of a simple, isolated, positive principal eigenvalue for the quasilinear elliptic equation−Δpu=λg(x)|u|p−2u,x∈ℝN,lim|x|→+∞u(x)=0, whereΔpu=div(|∇u|p−2∇u)is thep-Laplacian operator and the weight functiong(x), being bounded, changes sign and is negative and away from zero at infinity.

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