Limit profiles for singularly perturbed Choquard equations with local repulsion
From MaRDI portal
Publication:2149003
DOI10.1007/s00526-022-02255-yzbMath1492.35117arXiv2107.05065OpenAlexW3178322979WikidataQ114017871 ScholiaQ114017871MaRDI QIDQ2149003
Publication date: 24 June 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.05065
Smoothness and regularity of solutions to PDEs (35B65) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)
Related Items
Existence and asymptotic behavior of solutions for Kirchhoff equations with general Choquard-type nonlinearities, Asymptotic profiles for a nonlinear Kirchhoff equation with combined powers nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems
- Fractional integrals on radial functions with applications to weighted inequalities
- Quantum aspects of black holes
- Uniqueness and nondegeneracy of ground states for Choquard equations in three dimensions
- Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency
- A guide to the Choquard equation
- Ground states for Choquard equations with doubly critical exponents
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Classification of positive solitary solutions of the nonlinear Choquard equation
- On the planar Schrödinger-Poisson system
- The concentration-compactness principle in the calculus of variations. The limit case. II
- Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity
- Minimization problems in \(L^1(\mathbb{R}^3)\)
- Existence of solitary waves in higher dimensions
- Asymptotic shape and location of small cores in elliptic free-boundary problems
- Existence of ground state solutions for Choquard equation involving the general upper critical Hardy-Littlewood-Sobolev nonlinear term
- Existence and multiplicity of positive solutions to Schrödinger-Poisson type systems with critical nonlocal term
- Existence and qualitative properties of solutions for Choquard equations with a local term
- A new estimate on the two-dimensional indirect Coulomb energy
- Breakup of universality in the generalized spinodal nucleation theory
- Ground states in the diffusion-dominated regime
- Nonlinear problems related to the Thomas-Fermi equation
- Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains
- Asymptotic properties of ground states of scalar field equations with a vanishing parameter
- Uniqueness of entire ground states for the fractional plasma problem
- The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications
- Uniqueness of stationary states for singular Keller-Segel type models
- Uniqueness and nondegeneracy of solutions for a critical nonlocal equation
- Ground state solutions of fractional Choquard equations with general potentials and nonlinearities
- On fractional Schrödinger systems of Choquard type
- Equilibria of homogeneous functionals in the fair-competition regime
- Limit profiles and uniqueness of ground states to the nonlinear Choquard equations
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Variational solutions of some nonlinear free boundary problems
- On perturbation of a functional with the mountain pass geometry: application to the nonlinear Schrödinger-Poisson equations and the nonlinear Klein-Gordon-Maxwell equations
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- The Schrödinger–Poisson System with Positive Potential
- Compactly supported stationary states of the degenerate Keller-Segel system in the diffusion-dominated regime
- Stability of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsäcker model
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- The ultrarelativistic Thomas–Fermi–von Weizsäcker model
- Unstable Ground State of Nonlinear Klein-Gordon Equations
- Existence of stable standing waves for the fractional Schrödinger equations with combined power-type and Choquard-type nonlinearities
- Classification of solutions for an integral equation