Critical growth problems with singular nonlinearities on Carnot groups
type: Item
instance of: scholarly article
title: Critical growth problems with singular nonlinearities on Carnot groups
zbMATH Open document ID: 1322.35147
author: Annunziata Loiudice
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2015-08-31T00:00:00Z
full work available at URL: http://hdl.handle.net/11586/146860
Mathematics Subject Classification ID: 35R03
Mathematics Subject Classification ID: 35H20
Mathematics Subject Classification ID: 35J70
zbMATH DE Number: 6477057
zbMATH Keywords: subelliptic critical problem
zbMATH Keywords: singular nonlinearity
zbMATH Keywords: Hardy-Sobolev extremal
zbMATH Keywords: Carnot group
MaRDI profile type: Publication
OpenAlex ID: W819340921
cites work: Q5318420
cites work: Stratified Lie Groups and Potential Theory for their Sub-Laplacians
cites work: Nonlinear Liouville theorems for some critical problems on \(H\)-type groups.
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: SINGULAR ELLIPTIC PROBLEMS WITH CRITICAL GROWTH
cites work: On a semilinear elliptic equation with singular term and Hardy–Sobolev critical growth
cites work: Semilinear Dirichlet problem involving critical exponent for the Kohn Laplacian
cites work: Harnack's Inequality for Sum of Squares of Vector Fields Plus a Potential
cites work: Some Hardy inequalities on the Heisenberg group
cites work: Q5489533
cites work: Representation formulae and inequalities for solutions of a class of second order partial differential equations
cites work: Q4363057
cites work: Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces
cites work: Hardy-Sobolev type inequalities with sharp constants in Carnot-Carathéodory spaces
cites work: Q5565773
cites work: COMPACTNESS AND EXISTENCE RESULTS FOR DEGENERATE CRITICAL ELLIPTIC EQUATIONS
cites work: Subelliptic estimates and function spaces on nilpotent Lie groups
cites work: Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
cites work: Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
cites work: Q4024765
cites work: Regularity near the characteristic set in the nonlinear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups.
cites work: Q4040640
cites work: Classical Fourier Analysis
cites work: Hardy-Sobolev type inequalities on the H-type group
cites work: Critical polyharmonic problems with singular nonlinearities
cites work: Concentration estimates for critical problems
cites work: The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. I
cites work: The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. II
cites work: Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem
cites work: Q4386480
cites work: Non-existence results for semilinear kohn-laplace equations in unbounded domains
cites work: Analysis.
cites work: The concentration-compactness principle in the calculus of variations. The limit case. II
cites work: Semilinear subelliptic problems with critical growth on Carnot groups
cites work: \(L^p\)-weak regularity and asymptotic behavior of solutions for critical equations with singular potentials on Carnot groups
cites work: Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality
cites work: Q5516356
cites work: Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
cites work: Existence of solutions and regularity near the characteristic boundary for sub-Laplacian equations on Carnot groups
DOI: 10.1016/J.NA.2015.06.010
description: scientific article; zbMATH DE number 6477057