Concentration phenomena for magnetic Kirchhoff equations with critical growth

DOI10.3934/dcds.2021088zbMath1486.35043OpenAlexW3163676899MaRDI QIDQ2075095

Chao Ji, Vicenţiu D. Rădulescu

Publication date: 14 February 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2021088

zbMATH Keywords

magnetic fieldvariational methodsmultiple solutionsKirchhoff equationcritical growth

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Applications of PDEs on manifolds (58J90) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Variational principles of physics (49S05) Quasilinear elliptic equations (35J62) Integro-partial differential equations (35R09)

Related Items (4)

Existence results for fractional Kirchhoff problems with magnetic field and supercritical growth ⋮ One‐dimensional periodic fractional Schrödinger equations with exponential critical growth ⋮ Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator ⋮ Infinitely many localized semiclassical states for nonlinear Kirchhoff-type equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ground states for the nonlinear Kirchhoff type problems
• Multiple solutions for a semilinear elliptic equation with critical growth and magnetic field
• Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
• Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
• Multiplicity and concentration of solutions to the nonlinear magnetic Schrödinger equation
• Nontrivial solutions of Kirchhoff-type problems via the Yang index
• Ground state solutions for some indefinite variational problems
• On a class of nonlinear Schrödinger equations
• Multiplicity of concentrating solutions for a class of fractional Kirchhoff equation
• On concentration of positive bound states of nonlinear Schrödinger equations
• On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
• Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
• A semilinear Schrödinger equation in the presence of a magnetic field
• Local mountain passes for semilinear elliptic problems in unbounded domains
• Minimax theorems
• Multiplicity and concentration of solutions for Kirchhoff equations with magnetic field
• Concentration phenomena for nonlinear magnetic Schrödinger equations with critical growth
• Small perturbations for nonlinear Schrödinger equations with magnetic potential
• Multi-bump solutions for the nonlinear magnetic Schrödinger equation with exponential critical growth in \(\mathbb{R}^2 \)
• Multiplicity and concentration behavior of solutions to the critical Kirchhoff-type problem
• A multiplicity result for asymptotically linear Kirchhoff equations
• Multi-bump solutions for the nonlinear magnetic Choquard equation with deepening potential well
• Multiple semiclassical solutions for a nonlinear Choquard equation with magnetic field
• Multiple Solutions for a Nonlinear Schrödinger Equation with Magnetic Fields
• Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)_a
• Multiplicity and Concentration Results for a Magnetic Schrödinger Equation With Exponential Critical Growth in ℝ2
• A critical fractional Choquard–Kirchhoff problem with magnetic field

This page was built for publication: Concentration phenomena for magnetic Kirchhoff equations with critical growth