Concentration-compactness results for systems in the Heisenberg group

DOI10.7494/OPMATH.2020.40.1.151zbMath1440.35336OpenAlexW3005676169MaRDI QIDQ5106704

Letizia Temperini, Patrizia Pucci

Publication date: 22 April 2020

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2020.40.1.151

zbMATH Keywords

Heisenberg groupcritical exponentsconcentration-compactnessHardy terms

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational principles in infinite-dimensional spaces (58E30) Variational methods for elliptic systems (35J50) Analysis on real and complex Lie groups (22E30) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Boundary value problems for second-order elliptic systems (35J57)

Related Items (13)

Least-energy nodal solutions of critical Schrödinger-Poisson system on the Heisenberg group ⋮ Critical nonlocal Schrödinger-Poisson system on the Heisenberg group ⋮ On the critical Choquard-Kirchhoff problem on the Heisenberg group ⋮ Some existence results for critical nonlocal Choquard equation on the Heisenberg group ⋮ A Schrödinger-Poisson system with the critical growth on the first Heisenberg group ⋮ Critical Kirchhoff equations involving the p-sub-Laplacians operators on the Heisenberg group ⋮ On criticality coupled sub-Laplacian systems with Hardy type potentials on stratified Lie groups ⋮ High and low perturbations of the critical Choquard equation on the Heisenberg group ⋮ On critical exponential Kirchhoff systems on the Heisenberg group ⋮ On the nonlocal Schrödinger‐poisson type system in the Heisenberg group ⋮ On the concentration-compactness principle for Folland-Stein spaces and for fractional horizontal Sobolev spaces ⋮ Nodal solutions for \(Q\)-Laplacian problem with exponential nonlinearities on the Heisenberg group ⋮ Multiple solutions for critical Kirchhoff-Poisson systems in the Heisenberg group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
• Sobolev inequalities on Lie groups and symmetric spaces
• The concentration-compactness principle in the calculus of variations. The limit case. I
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Existence of solutions and regularity near the characteristic boundary for sub-Laplacian equations on Carnot groups
• Functional analysis, Sobolev spaces and partial differential equations
• Analysis on nilpotent groups
• Subelliptic estimates and function spaces on nilpotent Lie groups
• \((p, q)\) systems with critical terms in \(\mathbb{R}^N\)
• Schrödinger-Hardy systems involving two Laplacian operators in the Heisenberg group
• Critical Schrödinger-Hardy systems in the Heisenberg group
• Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups
• Existence for \((p, q)\) critical systems in the Heisenberg group
• Nonlinear elliptic inequalities with gradient terms on the Heisenberg group
• Kirchhoff-Hardy fractional problems with lack of compactness
• Hardy type and Rellich type inequalities on the Heisenberg group
• Concentration compactness principles for the systems of critical elliptic equations
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Weighted sobolev-poincaré inequalities for grushin type operators
• [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]

This page was built for publication: Concentration-compactness results for systems in the Heisenberg group