Asymptotic behaviour of solutions for a class of degenerate elliptic critical problems

DOI10.1016/J.NA.2008.12.023zbMath1168.35318OpenAlexW2094225065MaRDI QIDQ1017733

Annunziata Loiudice

Publication date: 12 May 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.12.023

zbMATH Keywords

asymptotic behavioursubelliptic critical problemGrushin-type operatorSobolev extremal

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate elliptic equations (35J70) Subelliptic equations (35H20)

Related Items (5)

Estimates of Dirichlet eigenvalues for degenerate \(\triangle_\mu\)-Laplace operator ⋮ A Brézis-Nirenberg type problem for a class of degenerate elliptic problems involving the Grushin operator ⋮ Asymptotic estimates and nonexistence results for critical problems with Hardy term involving Grushin-type operators ⋮ Local behavior of solutions to subelliptic problems with Hardy potential on Carnot groups ⋮ Critical Hardy-Sobolev exponents problem with Grushin operator and Hardy-type singularity terms

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic results for finite energy solutions of semilinear elliptic equations
• Nonlinear Liouville theorems for some critical problems on \(H\)-type groups.
• Symmetry properties of positive entire solutions of Yamabe-type equations on groups of Heisenberg type
• Sobolev inequalities with remainder terms for sublaplacians and other subelliptic operators
• Semilinear subelliptic problems with critical growth on Carnot groups
• Kelvin transform for Grushin operators and critical semilinear equations
• On the Grushin operator and hyperbolic symmetry
• $L^{p}$ estimates and asymptotic behavior for finite energy solutions of extremals to Hardy-Sobolev inequalities
• Sobolev Inequalities for Weighted Gradients
• An embedding theorem for sobolev spaces related to non-smooth vector fieldsand harnack inequality
• Weighted sobolev-poincaré inequalities for grushin type operators
• Non-existence results for semilinear kohn-laplace equations in unbounded domains

This page was built for publication: Asymptotic behaviour of solutions for a class of degenerate elliptic critical problems