Existence of positive solutions for a class of quasilinear Schrödinger equation with critical exponent

DOI10.1002/mma.9184OpenAlexW4327814489MaRDI QIDQ6137241

Zuji Guo, Kai-Min Teng, Li Jing

Publication date: 18 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.9184

zbMATH Keywords

variational methodspositive solutioncritical growthquasilinear Schrödinger equations

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

Cites Work

• Unnamed Item
• Unnamed Item
• Infinitely many sign-changing solutions for quasilinear Schrödinger equations in \({\mathbb R}^N\)
• Equation with positive coefficient in the quasilinear term and vanishing potential
• Solutions for a quasilinear Schrödinger equation: a dual approach.
• On the existence of soliton solutions to quasilinear Schrödinger equations
• Positive solutions for a class of quasilinear Schrödinger equations with superlinear condition
• Positive solutions for a class of singular quasilinear Schrödinger equations with critical Sobolev exponent
• Quasilinear elliptic equations with critical growth via perturbation method
• Soliton solutions for quasilinear Schrödinger equations. II.
• Positive solutions for a class of quasilinear Schrödinger equations with two parameters
• Soliton solutions for a class of quasilinear Schrödinger equations with a parameter
• Positive solution for quasilinear Schrödinger equations with a parameter
• Multiple solutions for quasilinear Schrödinger equations with a parameter
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Soliton solutions for quasilinear Schrödinger equations, I
• Quasilinear elliptic equations via perturbation method
• Least action nodal solutions for a quasilinear defocusing Schrödinger equation with supercritical nonlinearity
• Some results on standing wave solutions for a class of quasilinear Schrödinger equations
• Electron self-trapping in a discrete two-dimensional lattice