On the nonlocal Schrödinger‐poisson type system in the Heisenberg group

DOI10.1002/MMA.7873zbMath1529.35236OpenAlexW3160432097MaRDI QIDQ6179810

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Publication date: 18 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7873

zbMATH Keywords

existenceHeisenberg groupvariational methodsSchrödinger-Poisson-type system

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Quasilinear elliptic equations (35J62)

Cites Work

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• Critical growth problems with singular nonlinearities on Carnot groups
• Multiple solutions for critical Choquard-Kirchhoff type equations
• Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
• Global solvability for the degenerate Kirchhoff equation with real analytic data
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Schrödinger-Hardy systems involving two Laplacian operators in the Heisenberg group
• Critical Schrödinger-Hardy systems in the Heisenberg group
• Soliton solutions to Kirchhoff type problems involving the critical growth in \(\mathbb R^N\)
• Existence problems on Heisenberg groups involving Hardy and critical terms
• Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
• Existence for fractional \((p,q)\) systems with critical and Hardy terms in \(\mathbb{R}^N\)
• Degenerate Kirchhoff \((p, q)\)-fractional systems with critical nonlinearities
• Existence and multiplicity of nontrivial solutions for a nonlocal problem
• Dual variational methods in critical point theory and applications
• Existence for \((p, q)\) critical systems in the Heisenberg group
• Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations
• The Schrödinger-Poisson type system involving a critical nonlinearity on the first Heisenberg group
• Existence and non-existence results for Kirchhoff-type problems with convolution nonlinearity
• Editorial. Progress in nonlinear Kirchhoff problems
• \(p\)-fractional Hardy-Schrödinger-Kirchhoff systems with critical nonlinearities
• Nontrivial solutions for singular semilinear elliptic equations on the Heisenberg group
• Semilinear subelliptic problems with critical growth on Carnot groups
• Improved Sobolev inequalities on the Heisenberg group
• On the isoperimetric problem in the Heisenberg group \(\mathbb H^n\)
• Existence of solutions for Kirchhoff type problems with critical nonlinearity in \(\mathbb R^3\)
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• 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
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• On the Well-Posedness of the Kirchhoff String
• Concentration-compactness results for systems in the Heisenberg group
• Existence and multiplicity results for quasilinear equations in the Heisenberg group
• Existence and multiplicity of positive solutions for a nonlocal problem

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