Positive solutions for a class of quasilinear Schrödinger equations with superlinear condition

DOI10.1016/j.aml.2018.07.035zbMath1411.35095OpenAlexW2887401715MaRDI QIDQ1726510

Xianjiu Huang, Bitao Cheng, Jian-Hua Chen

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.2018.07.035

zbMATH Keywords

positive solutionsquasilinear Schrödinger equationPohozaev identity

Mathematics Subject Classification ID

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

Related Items (11)

Nonexistence and existence of positive radial solutions to a class of quasilinear Schrödinger equations in \(\mathbb{R}^N\) ⋮ Ground state sign-changing solutions for a class of quasilinear Schrödinger equations ⋮ On the existence of nontrivial solutions for quasilinear Schrödinger systems ⋮ Multiple solutions for quasilinear Schrödinger equations involving local nonlinearity term ⋮ Infinitely many solutions for quasilinear Schrödinger equation with general superlinear nonlinearity ⋮ Existence of positive solutions for a class of quasilinear Schrödinger equation with critical exponent ⋮ Existence and concentration behavior of ground states for a generalized quasilinear Choquard equation involving steep potential well ⋮ Concentrating positive solutions for quasilinear Schrödinger equations involving steep potential Well ⋮ Unnamed Item ⋮ Positive solutions for a class of quasilinear Schrödinger equations with two parameters ⋮ Positive solutions for critical quasilinear Schrödinger equations with potentials vanishing at infinity

Cites Work

• Equation with positive coefficient in the quasilinear term and vanishing potential
• On instability of excited states of the nonlinear Schrödinger equation
• Hardy inequalities and some critical elliptic and parabolic problems
• Solutions for a quasilinear Schrödinger equation: a dual approach.
• Soliton solutions for quasilinear Schrödinger equations. II.
• Minimax theorems
• Soliton solutions for generalized quasilinear Schrödinger equations
• Existence of solutions to quasilinear Schrödinger equations involving critical Sobolev exponent
• Existence of ground state solutions for quasilinear Schrödinger equations with super-quadratic condition
• Soliton solutions for a class of quasilinear Schrödinger equations with a parameter
• On a class of quasilinear Schrödinger equations with superlinear or asymptotically linear terms
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Quasilinear elliptic equations via perturbation method

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