Existence and concentration of solutions for singularly perturbed doubly nonlocal elliptic equations
From MaRDI portal
Publication:5216646
DOI10.1142/S0219199718500748zbMath1437.35308WikidataQ129096479 ScholiaQ129096479MaRDI QIDQ5216646
Publication date: 18 February 2020
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
penalization methodnonlocal elliptic problemconcentration phenomenaHartree-type nonlinearitysingle-peak solution
Related Items (2)
Global existence and finite time blow-up for a class of fractional \(p\)-Laplacian Kirchhoff type equations with logarithmic nonlinearity ⋮ A remark on Chern-Simons-Schrödinger equations with Hartree type nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and concentration result for the Kirchhoff type equations with general nonlinearities
- Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
- Semi-classical states for the Choquard equation
- Multi-peak solutions for nonlinear Choquard equation with a general nonlinearity
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- On a periodic Schrödinger equation with nonlocal superlinear part
- Existence of semiclassical ground state solutions for a generalized Choquard equation
- Nonlinear scalar field equations. I: Existence of a ground state
- 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
- Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- On a class of nonlinear Schrödinger equations
- Multi-peak bound states for nonlinear Schrödinger equations
- Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
- 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
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Semiclassical analysis for pseudo-relativistic Hartree equations
- Existence and asymptotic behavior of vector solutions for coupled nonlinear Kirchhoff-type systems
- Multi-peak standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
- Existence of solutions with prescribed norm for semilinear elliptic equations
- The Choquard equation and related questions
- Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
- Existence of groundstates for a class of nonlinear Choquard equations
- Multi-peak solution for nonlinear magnetic Choquard type equation
- On interacting bumps of semi-classical states of nonlinear Schrödinger equations.
This page was built for publication: Existence and concentration of solutions for singularly perturbed doubly nonlocal elliptic equations