December 2023 Anisotropic Sobolev Spaces with Weights
Giorgio METAFUNE, Luigi NEGRO, Chiara SPINA
Tokyo J. Math. 46(2): 313-337 (December 2023). DOI: 10.3836/tjm/1502179386

Abstract

We study anisotropic weighted Sobolev spaces defined on a half-space. These spaces are important in the study of singular elliptic operators which degenerate at the boundary. We prove trace properties and density of smooth functions. Hardy inequalities are studied in detail.

Citation

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Giorgio METAFUNE. Luigi NEGRO. Chiara SPINA. "Anisotropic Sobolev Spaces with Weights." Tokyo J. Math. 46 (2) 313 - 337, December 2023. https://doi.org/10.3836/tjm/1502179386

Information

Published: December 2023
First available in Project Euclid: 18 January 2024

Digital Object Identifier: 10.3836/tjm/1502179386

Subjects:
Primary: 46E35
Secondary: 35J70 , 35J75

Rights: Copyright © 2023 Publication Committee for the Tokyo Journal of Mathematics

Vol.46 • No. 2 • December 2023
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