Several logarithmic Caffarelli-Kohn-Nirenberg inequalities and applications

DOI10.1016/j.jmaa.2017.08.042zbMath1373.35014OpenAlexW2750915126MaRDI QIDQ2405397

Tingfu Feng, Jing Qiao, Peng Cheng Niu

Publication date: 25 September 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.08.042

zbMATH Keywords

generalized Baouendi-Grushin vector fieldsparameter type logarithmic Caffarelli-Kohn-Nirenberg inequality

Mathematics Subject Classification ID

Inequalities involving derivatives and differential and integral operators (26D10) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (3)

Non-blow-up and blow-up results to heat equations with logarithmic nonlinearity on stratified groups ⋮ Anisotropic Shannon inequality ⋮ Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maximizers for Gagliardo-Nirenberg inequalities and related non-local problems
• A class of Caffarelli-Kohn-Nirenberg type inequalities on the \(H\)-type group
• Nontrivial solutions for a class of critical elliptic equations of Caffarelli-Kohn-Nirenberg type
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Generalizations of logarithmic Sobolev inequalities
• Extremal functions for the Caffarelli-Kohn-Nirenberg inequalities: A simple proof of the symmetry
• Functional analysis, Sobolev spaces and partial differential equations
• Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions.
• Nonlinear Liouville theorems for Grushin and Tricomi operators.
• Norm constants in cases of the Caffarelli-Kohn-Nirenberg inequality
• Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities
• Competition reaction-absorption in some elliptic and parabolic problems related to the Caffarelli-Kohn-Nirenberg inequalities
• Weighted Caffarelli-Kohn-Nirenberg type inequality on the Heisenberg group
• Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities
• One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: remarks on duality and flows
• Maximum and Comparison Principles for Convex Functions on the Heisenberg Group
• On the Best Constant for a Weighted Sobolev-Hardy Inequality
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Logarithmic Sobolev Inequalities
• Weighted sobolev-poincaré inequalities for grushin type operators
• Symmetry of extremal functions for the Caffarelli-Kohn-Nirenberg inequalities
• SOME HARDY-TYPE INEQUALITIES FOR THE GENERALIZED BAOUENDI-GRUSHIN OPERATORS
• Strong Unique Continuation Properties of Generalized Baouendi–Grushin Operators
• Remarks on elliptic problems involving the Caffarelli-Kohn-Nirenberg inequalities
• Equivalent Norms for Sobolev Spaces

This page was built for publication: Several logarithmic Caffarelli-Kohn-Nirenberg inequalities and applications