Ground state solutions for a quasilinear elliptic equation with general critical nonlinearity

2020 ◽  
pp. 1-28
Author(s):  
Tingting Shang ◽  
Ruixi Liang
Keyword(s):  
Elliptic Equation ◽  
Ground State ◽  
Quasilinear Elliptic Equation ◽  
Critical Nonlinearity ◽  
Ground State Solutions ◽  
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 Multiple Solutions of Quasilinear Elliptic Equations in

2010 ◽  
Vol 2010 ◽  
pp. 1-12
Author(s):  
Huei-li Lin
Keyword(s):  
Elliptic Equation ◽  
Ground State ◽  
Elliptic Equations ◽  
Multiple Solutions ◽  
Quasilinear Elliptic Equation ◽  
Ground State Solution ◽  
The Other ◽  
Quasilinear Elliptic Equations ◽  
Positive Continuous Function ◽  
Quasilinear Elliptic

Assume that is a positive continuous function in and satisfies some suitable conditions. We prove that the quasilinear elliptic equation in admits at least two solutions in (one is a positive ground-state solution and the other is a sign-changing solution).

scholarly journals Lions-type theorem of the p-Laplacian and applications

2021 ◽  
Vol 10 (1) ◽  
pp. 1178-1200
Author(s):  
Yu Su ◽  
Zhaosheng Feng
Keyword(s):  
Elliptic Equation ◽  
Ground State ◽  
Quasilinear Elliptic Equation ◽  
Type Theorem ◽  
Ground State Solution ◽  
Critical Growth ◽  
State Solution ◽  
Quasilinear Elliptic

Abstract In this article, our aim is to establish a generalized version of Lions-type theorem for the p-Laplacian. As an application of this theorem, we consider the existence of ground state solution for the quasilinear elliptic equation with the critical growth.

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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