Divergent operator with degeneracy and related sharp inequalities

DOI10.1016/j.jfa.2021.109294zbMath1479.35027arXiv1910.13924OpenAlexW3208120328MaRDI QIDQ2056418

Meijun Zhu, Lei Wang, Jingbo Dou, Li-Ming Sun

Publication date: 2 December 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.13924

zbMATH Keywords

Baouendi-Grushin operatormoving sphere methodsharp weighted Sobolev inequality

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Symmetries, invariants, etc. in context of PDEs (35B06) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (4)

Classification of positive solutions to a divergent equation on the upper half space ⋮ A Brézis-Nirenberg type problem for a class of degenerate elliptic problems involving the Grushin operator ⋮ Existence of the solution for a class of the semilinear degenerate elliptic equation involving the Grushin operator in R2$\mathbb {R}^2$: The interaction between Grushin's critical exponent and exponential growth ⋮ Pólya-Szegö type inequality and imbedding theorems for weighted Sobolev spaces

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