Least energy sign-changing solutions for Schrödinger-Poisson system with critical growth
From MaRDI portal
Publication:2247222
DOI10.3934/cpaa.2021077zbMath1480.35155OpenAlexW3161364644MaRDI QIDQ2247222
Publication date: 17 November 2021
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2021077
Asymptotic behavior of solutions to PDEs (35B40) Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)
Related Items
Ground state solutions for Schrödinger–Poisson system with critical growth and nonperiodic potential, Positive and sign-changing solutions for critical Schrödinger-Poisson systems with sign-changing potential, Sign-changing solutions for a class of Schrödinger-Bopp-Podolsky system with concave-convex nonlinearities, Positive and nodal ground state solutions for a critical Schrödinger-Poisson system with indefinite potentials, Ground state sign-changing solutions for a Schrödinger-Poisson system with steep potential Well and critical growth, Sign-changing solutions for quasilinear elliptic equation with critical exponential growth, Least energy sign-changing solutions for Schrödinger-Poisson systems with potential well, Ground state and sign-changing solutions for critical Schrödinger-Poisson system with lower order perturbation, Unnamed Item, Ground state sign-changing solution for Schrödinger-Poisson system with steep potential well, 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
- Multiple positive solutions of a class of non autonomous Schrödinger-Poisson systems
- Ground state sign-changing solutions for a class of Schrödinger-Poisson type problems in \({\mathbb{R}^{3}}\)
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Existence and asymptotic behavior of sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb R^3\)
- Variational and topological methods in partially ordered Hilbert spaces
- Existence of solitary waves in higher dimensions
- An eigenvalue problem for the Schrödinger-Maxwell equations
- The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
- Ground state sign-changing solutions for a Schrödinger-Poisson system with a critical nonlinearity in \(\mathbb{R}^3\)
- Some existence results for superlinear elliptic boundary value problems involving critical exponents
- Minimax theorems
- Sign-changing solutions for Schrödinger equations with indefinite supperlinear nonlinearities
- Multiplicity of sign-changing solutions for a supercritical nonlinear Schrödinger equation
- Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
- Sign-changing solutions for nonlinear Schrödinger-Poisson systems with subquadratic or quadratic growth at infinity
- Existence and concentration of ground state solutions for critical Schrödinger-Poisson system with steep potential well
- Existence of least-energy sign-changing solutions for Schrödinger-Poisson system with critical growth
- Three nodal solutions of singularly perturbed elliptic equations on domains without topology
- Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
- Schrödinger-Poisson equations in R^3 involving critical Sobolev exponents
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
- Ground state and nodal solutions for a Schrödinger-Poisson equation with critical growth
- Multiple sign-changing solutions for nonlinear Schrödinger equations with potential well
- Positive, negative, and sign-changing solutions to a quasilinear Schrödinger equation with a parameter
- Ground state solution for a class of Schrödinger equations involving general critical growth term