Existence of ground state solutions for critical quasilinear Schrödinger equations with steep potential well

YF Xue, XJ Zhong, CL Tang - Advanced Nonlinear Studies, 2022 - degruyter.com
We study the existence of solutions for the quasilinear Schrödinger equation with the critical
exponent and steep potential well. By using a change of variables, the quasilinear equations …

Infinitely many solutions for quasilinear Schrödinger equation with concave-convex nonlinearities

L Chen, C Chen, Q Chen, Y Wei - Boundary Value Problems, 2024 - Springer
In this work, we study the existence of infinitely many solutions to the following quasilinear
Schrödinger equations with a parameter α and a concave-convex nonlinearity: 0.1− Δ pu+ V …

Existence of Ground State Solutions for Generalized Quasilinear Schrödinger Equations with Asymptotically Periodic Potential

YF Xue, LJ Yu, JX Han - Qualitative theory of dynamical systems, 2022 - Springer
This article is concerned with the existence of positive ground state solutions for an
asymptotically periodic quasilinear Schrödinger equation. By using a Nehari-type constraint …

[PDF][PDF] Existence of solutions for asymptotically periodic quasilinear Schrödinger equations with local nonlinearities

JX Han, YT Wei, YF Xue - math.u-szeged.hu
This paper is concerned with the existence of positive solutions for asymptotically periodic
quasilinear Schrödinger equations. By using a Nehari-type constraint and Moser iteration …