LARGE SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATION OF MIXED TYPE

2014 ◽  
Vol 32 (5_6) ◽  
pp. 721-736
Author(s):  
Yuan Zhang ◽  
Zuodong Yang
Keyword(s):  
Elliptic Equation ◽  
Mixed Type ◽  
Quasilinear Elliptic Equation ◽  
Large Solutions ◽  
Equation Of Mixed Type ◽  
Quasilinear Elliptic

Estimates for large solutions of a quasilinear elliptic equation

2014 ◽  
Vol 63 (S1) ◽  
pp. 165-177 ◽  
Author(s):  
Ester Giarrusso
Keyword(s):  
Elliptic Equation ◽  
Quasilinear Elliptic Equation ◽  
Large Solutions ◽  
Quasilinear Elliptic

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.

Existence of Radial Solutions for Quasilinear Elliptic Equations with Singular Nonlinearities

2003 ◽  
Vol 3 (4) ◽  
Author(s):  
Beatrice Acciaio ◽  
Patrizia Pucci
Keyword(s):  
Elliptic Equation ◽  
Elliptic Equations ◽  
Quasilinear Elliptic Equation ◽  
Quasilinear Elliptic Equations ◽  
Radial Solutions ◽  
Singular Nonlinearities ◽  
Quasilinear Elliptic

AbstractWe prove the existence of radial solutions of the quasilinear elliptic equation div(A(|Du|)Du) + f(u) = 0 in ℝ

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