Ground state solutions for quasilinear Schrodinger equations with periodic potential
Date
2020-07-29
Authors
Zhang, Jing
Ji, Chao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article concerns the quasilinear Schrödinger equation
-Δu - uΔ(u2) + V(x)u = K(x)|u|2‧2*-2u + g(x, u), x ∈ ℝN,
u ∈ H1(ℝN), u > 0,
where V and K are positive, continuous and periodic functions, g(x, u) is periodic in x and has subcritical growth. We use the generalized Nehari manifold approach developed by Szulkin and Weth to study the ground state solution, i.e. the nontrivial solution with least possible energy.
Description
Keywords
Quasilinear Schrödinger equation, Nehari manifold, Ground state
Citation
Zhang, J., & Ji, C. (2020). Ground state solutions for quasilinear Schrodinger equations with periodic potential. <i>Electronic Journal of Differential Equations, 2020</i>(82), pp. 1-12.