Existence and Asymptotic Behavior of Ground State Solutions for Quasilinear Schrödinger Equations with Unbounded Potential

Abstract

The authors study the existence of standing wave solutions for the quasilinear Schrödinger equation with the critical exponent and singular coefficients. By applying the mountain pass theorem and the concentration compactness principle, they get a ground state solution. Moreover, the asymptotic behavior of the ground state solution is also obtained.

Keywords

Quasilinear Schrödinger equation / Ground state / Critical Hardy-Sobolev exponents / Coercive

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