Singular periodic solutions to a critical equation in the Heisenberg group

DOI10.2140/pjm.2020.305.385zbMath1442.35076arXiv1908.02264OpenAlexW3027249025MaRDI QIDQ2181502

Claudio Afeltra

Publication date: 19 May 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.02264

zbMATH Keywords

perturbation methodssubelliptic equations

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (1)

On singular solutions of Lane-Emden equation on the Heisenberg group

Cites Work

• Unnamed Item
• A positive mass theorem in three dimensional Cauchy-Riemann geometry
• CR Yamabe conjecture -- the conformally flat case.
• The principle of symmetric criticality
• Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
• The Yamabe problem on CR manifolds
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• Estimate of the conformal scalar curvature equation via the method of moving planes. II
• Refined asymptotics for constant scalar curvature metrics with isolated singularities
• A perturbation result for the Webster scalar curvature problem on the CR sphere.
• Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
• Constant scalar curvature metrics with isolated singularities
• Differential geometry and analysis on CR manifolds
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
• Convolution operators and L(p, q) spaces
• Some remarks on convolution operators and \(L(p,q)\) spaces
• Morse index and Liouville property for superlinear elliptic equations on the Heisenberg group
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Classical Fourier Analysis
• Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem
• Harmonic Analysis in Phase Space. (AM-122)
• Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness
• TRACE AND TRACE LIFTING THEOREMS IN WEIGHTED SOBOLEV SPACES
• Constant mean curvature surfaces with Delaunay ends

This page was built for publication: Singular periodic solutions to a critical equation in the Heisenberg group