Sharp higher order Adams' inequality with exact growth condition on weighted Sobolev spaces

DOI10.1007/s12220-024-01587-9arXiv2309.08566MaRDI QIDQ6131313

João Marcos Bezerra do Ó, Guozhen Lu, Raoní Ponciano

Publication date: 5 April 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.08566

zbMATH Keywords

weighted Sobolev spacesdifferential equationssharp constantexact growth conditionAdams' inequality

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Critical exponents in context of PDEs (35B33) Variational methods for higher-order elliptic equations (35J35)

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