Infinitely many solutions to a quasilinear Schrödinger equation with a local sublinear term

DOI10.1016/j.aml.2018.09.015zbMath1411.35096OpenAlexW2893768396MaRDI QIDQ1726556

Zhanping Liang, Anran Li, Jinfeng Gao

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.09.015

zbMATH Keywords

variational methodsquasilinear Schrödinger equationinfinitely many solutionslocal sublinear term

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Quasilinear elliptic equations (35J62)

Related Items (4)

Multiplicity of solutions for a sublinear quasilinear Schrödinger equation ⋮ Multiple solutions for quasilinear Schrödinger equations involving local nonlinearity term ⋮ Existence and multiplicity of sign-changing solitary waves for a quasilinear Schrödinger equation ⋮ Ground state solutions for a quasilinear elliptic equation with general critical nonlinearity

Cites Work

• Solutions of a Schrödinger-Poisson system with combined nonlinearities
• Positive ground state solutions for a quasilinear elliptic equation with critical exponent
• On Clark's theorem and its applications to partially sublinear problems
• Solutions for a quasilinear Schrödinger equation: a dual approach.
• Soliton solutions for quasilinear Schrödinger equations. II.
• Soliton solutions for generalized quasilinear Schrödinger equations
• Existence of positive solutions for a quasilinear Schrödinger equation
• Evolution theorem for a class of perturbed envelope soliton solutions
• Quasilinear asymptotically periodic Schrödinger equations with critical growth

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