Existence and concentration of ground state solutions for doubly critical Schrödinger-Poisson-type systems
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Publication:2198148
DOI10.1007/s00033-020-01381-xzbMath1448.35164OpenAlexW3081973948MaRDI QIDQ2198148
Publication date: 9 September 2020
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-020-01381-x
variational methodSchrödinger-Poisson-type systemexistence and concentration of ground state solutions
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
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Cites Work
- Unnamed Item
- Ground state and multiple solutions for Schrödinger-Poisson equations with critical nonlinearity
- Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
- Concentration of positive ground state solutions for Schrödinger-Maxwell systems with critical growth
- Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
- Infinitely many solutions for a class of sublinear Schrödinger-Maxwell equations
- Semi-classical states for the Choquard equation
- Ground state sign-changing solutions for a class of Schrödinger-Poisson type problems 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
- On the Schrödinger-Poisson equations with a general nonlinearity in the critical growth
- Existence of semiclassical ground state solutions for a generalized Choquard equation
- Multi-bump bound states of Schrödinger equations with a critical frequency
- Existence of multiple positive solutions for Schrödinger-Poisson systems with critical growth
- On the planar Schrödinger-Poisson system
- Existence and asymptotic behavior of sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb R^3\)
- Ground state solutions for the nonlinear Schrödinger-Maxwell equations
- On the existence of solutions for the Schrödinger-Poisson equations
- Positive solutions for Schrödinger-Poisson equations with a critical exponent
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Elliptic partial differential equations of second order
- Multi-peak solutions for a nonlinear Schrödinger-Poisson system including critical growth in \(\mathbb{R}^{3}\)
- Multiplicity of solutions for a class of Schrödinger-Maxwell systems
- Ground state sign-changing solutions for a Schrödinger-Poisson system with a critical nonlinearity in \(\mathbb{R}^3\)
- Semi-classical solutions for Schrödinger-Poisson equations with a critical frequency
- On concentration of positive bound states of nonlinear Schrödinger equations
- Multiple interior peak solutions for some singularly perturbed Neumann problems.
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- On existence and concentration behavior of ground state solutions for a class of problems with critical growth.
- Minimax theorems
- Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
- On ground state solutions for the Schrödinger-Poisson equations with critical growth
- Positive and sign-changing solutions of a Schrödinger-Poisson system involving a critical nonlinearity
- Ground state solution for a class of Schrödinger-Poisson-type systems with partial potential
- Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials
- Multiple solitary waves for non-homogeneous Schrödinger-Maxwell equations
- Multiplicity of concentrating positive solutions for Schrödinger-Poisson equations with critical growth
- Choquard-type equations with Hardy-Littlewood-Sobolev upper-critical growth
- Positive solution for a nonlinear stationary Schrödinger-Poisson system in \(\mathbb R^3\)
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Positive solutions of an asymptotically periodic Schrödinger-Poisson system with critical exponent
- Solutions of perturbed Schrödinger equations with critical nonlinearity
- Positive solutions for some non-autonomous Schrödinger-Poisson systems
- Existence and concentration of ground states for Schrödinger-Poisson equations with critical growth
- Existence of positive solutions to Schrödinger–Poisson type systems with critical exponent
- Schrödinger-Poisson equations in R^3 involving critical Sobolev exponents
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Semi-Classical Bound States for Schrödinger Equations with Potentials Vanishing or Unbounded at Infinity
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
- The existence and concentration of positive solutions for a nonlinear Schrödinger-Poisson system with critical growth
- On harnack type inequalities and their application to quasilinear elliptic equations
