Sobolev embeddings with weights in complete riemannian manifolds

Autor:	Amar, Eric
Rok vydání:	2019
Předmět:	Mathematics - Analysis of PDEs 46E35
Druh dokumentu:	Working Paper
Popis:	We prove Sobolev embedding Theorems with weights for vector bundles in a complete riemannian manifold. We also get general Gaffney's inequality with weights. As a consequence, under a "weak bounded geometry" hypothesis, we improve classical Sobolev embedding Theorems for vector bundles in a complete riemannian manifold. We also improve known results on Gaffney's inequality in a complete riemannian manifold. Comment: We introduce the notion of "weak bounded geometry" which allows us to improve clearly known results for Sobolev embeddings or Gaffney's inequality in complete non-compact riemannian manifolds. arXiv admin note: text overlap with arXiv:1812.04411
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1902.08613 Zobrazit plný text záznamu View this record from Arxiv