Ground state sign-changing solutions for a Schrödinger-Poisson system with steep potential Well and critical growth

DOI10.1007/S12346-023-00931-8OpenAlexW4390409263MaRDI QIDQ6136737

Xiaoqing Huang, Jia-Feng Liao, Rui-Qi Liu

Publication date: 17 January 2024

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-023-00931-8

zbMATH Keywords

critical exponentSchrödinger-Poisson systemexistence of ground states

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

Cites Work

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• Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
• Ground state sign-changing solutions for a class of Schrödinger-Poisson type problems in \({\mathbb{R}^{3}}\)
• Schrödinger-Poisson system with steep potential well
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Least energy sign-changing solutions for nonlinear Schrödinger equations with indefinite-sign and vanishing potential
• Existence and asymptotic behavior of sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb R^3\)
• The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
• 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 \(\mathbb{R}^3\)
• Minimax theorems
• Ground state sign-changing solutions for a class of nonlinear fractional Schrödinger-Poisson system with potential vanishing at infinity
• Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
• Ground state sign-changing solution for Schrödinger-Poisson system with critical growth
• Ground states for planar Hamiltonian elliptic systems with critical exponential growth
• Semiclassical states for coupled nonlinear Schrödinger system with competing potentials
• 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 nonlinear Schrödinger-Poisson systems with subquadratic or quadratic growth at infinity
• A note on sign-changing solutions for the Schrödinger Poisson system
• Least energy sign-changing solutions for Schrödinger-Poisson system with critical growth
• Existence of least-energy sign-changing solutions for Schrödinger-Poisson system with critical growth
• On ground state and nodal solutions of Schrödinger-Poisson equations with critical growth
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Existence and asymptotics of normalized ground states for a Sobolev critical Kirchhoff equation
• Existence and asymptotic behavior of solutions for nonlinear Schrödinger-Poisson systems with steep potential well
• The Schrödinger–Poisson System with Positive Potential
• A ecessary and Sufficient Condition for The Stability of General molecular Systems
• Thomas-fermi and related theories of atoms and molecules
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• Existence and concentration of positive solutions for Schrödinger-Poisson systems with steep well potential
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• On Schrödinger–Poisson systems under the effect of steep potential well (2 < p < 4)
• Existence and concentration of solutions for Schrödinger–Poisson system with steep potential well

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