Multi-peak solutions for a nonlinear Schrödinger-Poisson system including critical growth in \(\mathbb{R}^{3}\)
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Publication:1625750
DOI10.1186/s13662-016-0918-zzbMath1419.35006OpenAlexW2500753634WikidataQ59466966 ScholiaQ59466966MaRDI QIDQ1625750
Publication date: 29 November 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-016-0918-z
Singular perturbations in context of PDEs (35B25) Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61)
Related Items (2)
Existence and concentration of ground state solutions for doubly critical Schrödinger-Poisson-type systems ⋮ Existence of nontrivial solution for a nonlocal problem with subcritical nonlinearity
Cites Work
- Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\)
- Cluster solutions for the Schrödinger-Poisson-Slater problem around a local minimum of the potential
- Single and multi-peak solutions for a nonlinear Maxwell-Schrödinger system with a general nonlinearity
- Ground states for Schrödinger-Poisson type systems
- Nonlinear scalar field equations. I: Existence of a ground state
- Standing waves for nonlinear Schrödinger equations involving critical growth of Trudinger-Moser type
- Symmetry and monotonicity of least energy solutions
- On a class of nonlinear Schrödinger equations
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Elliptic partial differential equations of second order
- On concentration of positive bound states of nonlinear Schrödinger equations
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Solutions of Hartree-Fock equations for Coulomb systems
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Singularly perturbed nonlinear Dirichlet problems involving critical growth
- Multi-peak standing waves for nonlinear Schrödinger equations with a general nonlinearity
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Positive solutions for some non-autonomous Schrödinger-Poisson systems
- Existence and concentration of ground states for Schrödinger-Poisson equations with critical growth
- Standing waves for nonlinear Schrödinger equations involving critical growth
- A BERESTYCKI–LIONS THEOREM REVISITED
- GROUND AND BOUND STATES FOR A STATIC SCHRÖDINGER–POISSON–SLATER PROBLEM
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
- On Concentration of Positive Bound States for the Schrödinger-Poisson Problem with Potentials
- SOLUTIONS OF THE SCHRÖDINGER–POISSON PROBLEM CONCENTRATING ON SPHERES, PART I: NECESSARY CONDITIONS
- SEMICLASSICAL STATES FOR COUPLED SCHRÖDINGER–MAXWELL EQUATIONS: CONCENTRATION AROUND A SPHERE
- The existence and concentration of positive solutions for a nonlinear Schrödinger-Poisson system with critical growth
- On Bound States Concentrating on Spheres for the Maxwell--Schrödinger Equation
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