On the Schrödinger-Poisson system with indefinite potential and 3-sublinear nonlinearity
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Publication:1986522
DOI10.1016/j.jde.2019.12.023zbMath1436.35082arXiv1905.11120OpenAlexW2998743131MaRDI QIDQ1986522
Shibo Liu, Sun-ra J. N. Mosconi
Publication date: 8 April 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.11120
Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)
Related Items (15)
Existence and concentration of solution for Schrödinger-Poisson system with local potential ⋮ Existence solutions for a class of Schrödinger-Maxwell systems with steep well potential ⋮ Sign-changing solutions for nonlinear Schrödinger-Poisson systems with subquadratic or quadratic growth at infinity ⋮ Multiple solutions for the fractional Schrödinger–Poisson system with concave–convex nonlinearities ⋮ Ground‐state solution of a nonlinear fractional Schrödinger–Poisson system ⋮ Existence of nontrivial distributional solutions for a class of Schrödinger-Poisson system with Sobolev critical nonlinearity and zero mass ⋮ Unnamed Item ⋮ Existence of nontrivial solutions for modified nonlinear fourth-order elliptic equations with indefinite potential ⋮ Ground state for fractional Schrödinger-Poisson equation in Coulomb-Sobolev space ⋮ Multiple solutions for Schrödinger-Kirchhoff equations with indefinite potential ⋮ Asymptotic profile of ground states for the Schrödinger-Poisson-Slater equation ⋮ Ground state sign-changing solution for Schrödinger-Poisson system with steep potential well ⋮ Nontrivial solutions for Klein-Gordon-Maxwell systems with sign-changing potentials ⋮ Ground state sign-changing solutions for critical Schrödinger-Poisson system with steep potential well ⋮ Sign-changing solutions for Schrödinger-Poisson system with local nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
- Sign-changing radial solutions for the Schrödinger-Poisson-Slater problem
- Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
- On superlinear Schrödinger equations with periodic potential
- A sign-changing solution for the Schrödinger-Poisson equation in \(\mathbb R^3\)
- Schrödinger-Poisson system with steep potential well
- Periodic solutions for a class of non-autonomous Hamiltonian systems
- The mathematics of the Bose gas and its condensation.
- Positive solutions of asymptotically linear Schrödinger-Poisson systems with a radial potential vanishing at infinity
- Schrödinger-Poisson equations without Ambrosetti-Rabinowitz condition
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- Nonlinear scalar field equations. I: Existence of a ground state
- High energy solutions for the superlinear Schrödinger-Maxwell equations
- Multiplicity of positive solutions for a nonlinear Schrödinger-Poisson system
- Ground state solutions for some Schrödinger-Poisson systems with periodic potentials
- Multiple solutions of asymptotically linear Schrödinger-Poisson system with radial potentials vanishing at infinity
- Ground state solutions for the nonlinear Schrödinger-Maxwell equations
- On the existence of solutions for the Schrödinger-Poisson equations
- Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
- Positive solutions of nonlinear Schrödinger-Poisson systems with radial potentials vanishing at infinity
- Ground state solutions for some indefinite variational problems
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Solitons and the electromagnetic field
- Derivation of the Schrödinger-Poisson equation from the quantum \(N\)-body problem
- Applications of local linking to critical point theory
- Generalized linking theorem with an application to a semilinear Schrödinger equation
- Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
- Standing waves with large frequency for 4-superlinear Schrödinger-Poisson systems
- Existence and multiplicity of solutions for Schrödinger-Poisson equations with sign-changing potential
- Positive solution for a nonlinear stationary Schrödinger-Poisson system in \(\mathbb R^3\)
- Three nodal solutions of singularly perturbed elliptic equations on domains without topology
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Positive solutions for some non-autonomous Schrödinger-Poisson systems
- Positive bound state solutions for some Schrödinger–Poisson systems
- Existence of solutions with prescribed norm for semilinear elliptic equations
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- ON NODAL SOLUTIONS OF THE NONLINEAR SCHRÖDINGER–POISSON EQUATIONS
- Existence and multiplicity results for some superlinear elliptic problems on RN
- Multiple positive bound states for critical Schrödinger-Poisson systems
- Standing waves for 4-superlinear Schrödinger-Poisson systems with indefinite potentials
- Critical groups of critical points produced by local linking with applications
- Remarks on multiple nontrivial solutions for quasi-linear resonant problems
- Homoclinic orbits for asymptotically linear Hamiltonian systems
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