Ground states and multiple solutions for Choquard-Pekar equations with indefinite potential and general nonlinearity
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Publication:2020481
DOI10.1016/j.jmaa.2021.125143zbMath1465.35248OpenAlexW3139492372MaRDI QIDQ2020481
Shuai Yuan, Lizhen Lai, Dongdong Qin, Qingfang Wu
Publication date: 23 April 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125143
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items
Ground state solutions and infinitely many solutions for a nonlinear Choquard equation ⋮ Existence of ground state solutions for a class of Choquard equations with local nonlinear perturbation and variable potential ⋮ Existence and concentration of ground-states for fractional Choquard equation with indefinite potential ⋮ Strongly indefinite Choquard equation in ℝ2 with critical exponential growth ⋮ Infinitely many solutions for \(p\)-fractional Choquard type equations involving general nonlocal nonlinearities with critical growth via the concentration compactness method ⋮ Existence of solutions for the \(( p , q )\)-Laplacian equation with nonlocal Choquard reaction ⋮ Ground state solutions and periodic solutions with minimal periods to second-order Hamiltonian systems ⋮ Existence and asymptotic behavior of ground states for Choquard-Pekar equations with Hardy potential and critical reaction
Cites Work
- Pointwise bounds and blow-up for Choquard-Pekar inequalities at an isolated singularity
- Nodal solutions for the Choquard equation
- Semi-classical states for the Choquard equation
- A guide to the Choquard equation
- On a periodic Schrödinger equation with nonlocal superlinear part
- Ground states and geometrically distinct solutions for periodic Choquard-Pekar equations
- Classification of positive solitary solutions of the nonlinear Choquard equation
- Ground state solutions for some indefinite variational problems
- Localised solutions of Hartree equations for narrow-band crystals
- Unique continuation for Schrödinger operators with unbounded potentials
- Bifurcation for variational problems when the linearisation has no eigenvalues
- On a nonlinear Schrödinger equation with periodic potential
- Deformation properties for continuous functionals and critical point theory
- On some periodic Hartree-type models for crystals
- Solutions of Hartree-Fock equations for Coulomb systems
- On the variational principle
- Minimax theorems
- On spectral theory of elliptic operators
- Generalized linking theorem with an application to a semilinear Schrödinger equation
- Ground states and non-existence results for Choquard type equations with lower critical exponent and indefinite potentials
- Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions
- Semiclassical solutions for Choquard equations with Berestycki-Lions type conditions
- Saddle solutions for the Choquard equation
- Nonlocal perturbations of the fractional Choquard equation
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- On the planar Choquard equation with indefinite potential and critical exponential growth
- On a semilinear Schrödinger equation with critical Sobolev exponent
- Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
- Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation
- Quantum computation, entanglement and state reduction
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- The Schrödinger–Newton equation as a non-relativistic limit of self-gravitating Klein–Gordon and Dirac fields
- Existence of groundstates for a class of nonlinear Choquard equations
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