Ground states for a class of quasilinear Schrödinger equations with vanishing potentials

DOI10.3934/cpaa.2020298zbMath1460.35094OpenAlexW3116627232MaRDI QIDQ2658879

Yimin Zhang, Zhou-Xin Li

Publication date: 24 March 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2020298

zbMATH Keywords

quasilinear Schrödinger equationsexistence of a positive ground state solution

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items (5)

Existence and asymptotic behavior of solutions for a quasilinear Schrödinger equation with Hardy potential ⋮ Existence of solutions for a class of quasilinear Choquard equations with potential vanishing at infinity ⋮ Existence of solutions to modified nonlinear Schrödinger equations on non-compact Riemannian manifolds ⋮ Solutions to degenerative generalized quasilinear Schrödinger equations involving vanishing potentials and critical exponent ⋮ The existence results for a class of generalized quasilinear Schrödinger equation with nonlocal term

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