Lieb's and Lions' type theorems on Heisenberg group and applications

DOI10.1002/MMA.8937zbMath1530.35335OpenAlexW4311124001MaRDI QIDQ6140696

Sainan Wang

Publication date: 2 January 2024

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

Full work available at URL: https://doi.org/10.1002/mma.8937

zbMATH Keywords

Heisenberg groupLieb's translation theoremLions' vanishing theorem

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Cites Work

• Unnamed Item
• Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group
• Lions-type compactness and Rubik actions on the Heisenberg group
• Critical growth problems with singular nonlinearities on Carnot groups
• Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups
• Yamabe-type equations on Carnot groups
• Local behavior of solutions to subelliptic problems with Hardy potential on Carnot groups
• On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and \(p\)-sub-Laplacian inequalities on stratified groups
• On the lowest eigenvalue of the Laplacian for the intersection of two domains
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Critical Schrödinger-Hardy systems in the Heisenberg group
• Optimal decay of \(p\)-Sobolev extremals on Carnot groups
• Gradient-type systems on unbounded domains of the Heisenberg group
• Existence problems on Heisenberg groups involving Hardy and critical terms
• Ground state solution of the thin film epitaxy equation
• Quasilinear Choquard equation with critical exponent
• Ground state solution for critical Schrödinger equation with harmonic potential
• Fractional Sobolev embedding with radial potential
• Multiplicity and concentration results for fractional Choquard equations: doubly critical case
• Fractional Kirchhoff-type equation with Hardy-Littlewood-Sobolev critical exponent
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• A Hardy type inequality on fractional order Sobolev spaces on the Heisenberg group
• Nodal solutions for the fractional Yamabe problem on Heisenberg groups

This page was built for publication: Lieb's and Lions' type theorems on Heisenberg group and applications