Existence of extremal functions for higher-order Caffarelli-Kohn-Nirenberg inequalities

DOI10.1515/ans-2017-6037zbMath1397.35006OpenAlexW2769220052MaRDI QIDQ1663693

Mengxia Dong

Publication date: 22 August 2018

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2017-6037

zbMATH Keywords

Caffarelli-Kohn-Nirenberg inequalityhigher-order derivativeextremal functions,Sobolev embedding

Mathematics Subject Classification ID

Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (8)

Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities ⋮ Sharp \(L^2\)-Caffarelli-Kohn-Nirenberg inequalities for Grushin vector fields ⋮ Caffarelli-Kohn-Nirenberg inequalities for curl-free vector fields and second order derivatives ⋮ Short proofs of refined sharp Caffarelli-Kohn-Nirenberg inequalities ⋮ Maximizers for fractional Caffarelli-Kohn-Nirenberg and Trudinger-Moser inequalities on the fractional Sobolev spaces ⋮ Sharp Caffarelli-Kohn-Nirenberg-type inequalities on Carnot groups ⋮ Sharp singular Trudinger-Moser inequalities under different norms ⋮ Sharp weighted Trudinger-Moser-Adams inequalities on the whole space and the existence of their extremals

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