Multiplicity of solutions for a class of critical Schrödinger-Poisson systems on the Heisenberg group

DOI10.1515/math-2023-0113zbMath1525.35112OpenAlexW4386711594MaRDI QIDQ6083274

Publication date: 31 October 2023

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2023-0113

zbMATH Keywords

existence Heisenberg group variational methods Schrödinger-Poisson-type system

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

A note on fractional $p$-Laplacian problems with singular weights
Ground state solutions for some Schrödinger-Poisson systems with periodic potentials
Existence and asymptotic behavior of sign-changing solutions for the nonlinear Schrödinger-Poisson system in $\mathbb R^3$
Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
Existence of solutions and regularity near the characteristic boundary for sub-Laplacian equations on Carnot groups
Best constant in Sobolev inequality
An eigenvalue problem for the Schrödinger-Maxwell equations
Positive solutions for a Schrödinger-Poisson system involving concave-convex nonlinearities
Minimax theorems
Generalized Schrödinger-Poisson type systems
On symmetric solutions for $(p, q)$-Laplacian equations in $\mathbb{R}^N$ with critical terms
Multiplicity results for $(p, q)$-Laplacian equations with critical exponent in $\mathbb{R}^N$ and negative energy
The Schrödinger-Poisson type system involving a critical nonlinearity on the first Heisenberg group
Nonlinear elliptic inequalities with gradient terms on the Heisenberg group
Multiple solitary waves for non-homogeneous Schrödinger-Maxwell equations
Note on a Schrödinger-Poisson system in a bounded domain
Multiple solutions for noncooperative $p(x)$-Laplacian equations in $\mathbb R^N$ involving the critical exponent
Multiplicity of solutions for a noncooperative $p$-Laplacian elliptic system in $\mathbb R^N$
The Schrödinger-Poisson equation under the effect of a nonlinear local term
Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
A Stationary Schrödinger-Poisson System Arising from the Modelling of Electronic Devices
Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem
Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
An embedding theorem and the harnack inequality for nonlinear subelliptic equations
Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner–Poisson and Schrödinger‐Poisson systems
On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
A limit index theory and its applications
Multiple solutions for a class of noncooperative critical nonlocal system with variable exponents

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