The concentration behavior of ground states for a class of Kirchhoff-type problems with Hartree-type nonlinearity
From MaRDI portal
Publication:2279834
DOI10.1515/ans-2019-2045zbMath1427.35050OpenAlexW2944617629WikidataQ127919810 ScholiaQ127919810MaRDI QIDQ2279834
Publication date: 16 December 2019
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ans-2019-2045
Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)
Related Items (5)
Existence of nontrivial solutions for Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian and local nonlinearity ⋮ Semiclassical ground state solutions for a class of Kirchhoff-type problem with convolution nonlinearity ⋮ Concentration of solutions for fractional double-phase problems: critical and supercritical cases ⋮ Ground state solutions for Kirchhoff-type problems with convolution nonlinearity and Berestycki-Lions type conditions ⋮ Multiple positive solutions for a class of Kirchhoff equation on bounded domain
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in \(\mathbb R^2\)
- Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
- Concentrating bounded states for a class of singularly perturbed Kirchhoff type equations with a general nonlinearity
- Semi-classical limits of ground states of a nonlinear Dirac equation
- Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
- Semi-classical states for the Choquard equation
- Existence and concentration of ground state solutions for singularly perturbed nonlocal elliptic problems
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- Existence of semiclassical ground state solutions for a generalized Choquard equation
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Classification of positive solitary solutions of the nonlinear Choquard equation
- Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents
- Regularity for a more general class of quasilinear equations
- On a class of nonlinear Schrödinger equations
- Minimax theorems
- Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities
- Singularly perturbed critical Choquard equations
- Multiplicity and concentration behavior of solutions to the critical Kirchhoff-type problem
- Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials
- A note on Kirchhoff-type equations with Hartree-type nonlinearities
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Investigating the multiplicity and concentration behaviour of solutions for a quasi-linear Choquard equation via the penalization method
- Concentrating Bound States for Kirchhoff Type Problems in ℝ3 Involving Critical Sobolev Exponents
- Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
- Strongly interacting bumps for the Schrödinger–Newton equations
- A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions
- Existence and multiplicity results for elliptic problems with critical growth and discontinuous nonlinearities
- Spherically-symmetric solutions of the Schrödinger-Newton equations
- Multiplicity and concentration of solutions for a quasilinear Choquard equation
- On harnack type inequalities and their application to quasilinear elliptic equations
This page was built for publication: The concentration behavior of ground states for a class of Kirchhoff-type problems with Hartree-type nonlinearity
