On the p-Laplacian Kirchhoff–Schrödinger equation with potentials vanishing or unbounded at infinity in R3

DOI10.1063/5.0079166OpenAlexW4214670562WikidataQ114103486 ScholiaQ114103486MaRDI QIDQ5883882

Unnamed Author, Sihua Liang

Publication date: 17 March 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0079166

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and concentration result for the Kirchhoff type equations with general nonlinearities
• Nonlinear perturbations of a periodic Kirchhoff equation in \(\mathbb R^N\)
• Existence of a positive solution to Kirchhoff-type problems without compactness conditions
• Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
• Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
• Existence and concentration of solutions for a Kirchhoff type problem with potentials
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Nontrivial solutions of Kirchhoff-type problems via the Yang index
• Multiple solutions for critical Choquard-Kirchhoff type equations
• Existence and concentration of bound states of nonlinear Schrödinger equations with compactly supported and competing potentials
• Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents
• Remarks on an elliptic equation of Kirchhoff type
• Bound states of nonlinear Schrödinger equations with potentials tending to zero at infinity
• On a class of nonlinear Schrödinger equations
• On concentration of positive bound states of nonlinear Schrödinger equations
• Soliton solutions to Kirchhoff type problems involving the critical growth in \(\mathbb R^N\)
• Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
• Soliton solutions for quasilinear Schrödinger equations involving convolution and critical Nonlinearities
• Existence and non-existence results for Kirchhoff-type problems with convolution nonlinearity
• Editorial. Progress in nonlinear Kirchhoff problems
• Existence of solutions for Kirchhoff type problems with critical nonlinearity in \(\mathbb R^N\)
• Existence and concentration of positive ground states for a Kirchhoff equation involving critical Sobolev exponent
• Multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type with critical exponent
• Multiplicity and concentration behavior of solutions to the critical Kirchhoff-type problem
• Multiplicity of solutions for the noncooperative Schrödinger-Kirchhoff system involving the fractional \(p\)-Laplacian in \({\mathbb {R}}^N\)
• Existence and concentration behavior of solutions for a class of quasilinear elliptic equations with critical growth
• Ground state solutions for an indefinite Kirchhoff type problem with steep potential well
• Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity
• Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type with critical growth in ℝN
• Concentrating Bound States for Kirchhoff Type Problems in ℝ³ Involving Critical Sobolev Exponents
• Some properties of weak solutions of nonlinear scalar field equations
• Variational Methods for Nonlocal Fractional Problems
• Multiplicity of solutions for a class of quasilinear elliptic equations with concave and convex terms in R
• Semi-Classical Bound States for Schrödinger Equations with Potentials Vanishing or Unbounded at Infinity
• Existence and concentration of bound states for a Kirchhoff type problem with potentials vanishing or unbounded at infinity
• Existence of a least energy nodal solution for a Schrödinger-Kirchhoff equation with potential vanishing at infinity
• Multiplicity and concentration behavior of positive solutions for a Schrödinger–Kirchhoff type problemviapenalization method
• Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
• Multiplicity results for some nonlinear Schrödinger equations with potentials

This page was built for publication: On the p-Laplacian Kirchhoff–Schrödinger equation with potentials vanishing or unbounded at infinity in R3