Improved Hardy inequalities for Grushin operators

DOI10.1016/j.jmaa.2014.11.010zbMath1336.46034OpenAlexW2085337473MaRDI QIDQ481966

Dan Su, Qiao-Hua Yang, Yin-Ying Kong

Publication date: 19 December 2014

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.2014.11.010

zbMATH Keywords

Sobolev inequalityHardy inequalityGrushin operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15)

Related Items (8)

Nonexistence of positive solutions to a system of elliptic inequalities involving the Grushin operator ⋮ Sub-elliptic problems with multiple critical Sobolev-Hardy exponents on Carnot groups ⋮ Hardy type identities on \(\mathbb{R}^{n-k} \times (\mathbb{R}_+)^k\) via factorizations ⋮ Optimal regularity of a degenerate elliptic equation ⋮ Asymptotic estimates and nonexistence results for critical problems with Hardy term involving Grushin-type operators ⋮ Boundary blow-up solutions to a class of degenerate elliptic equations ⋮ On the classification of solutions to an elliptic equation involving the Grushin operator ⋮ Hardy type inequalities for Δ_λ-Laplacians

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