From Sobolev Inequality to Doubling

2013/12/01 by Lyudmila Korobenko, Korobenko, Lyudmila, Diego Maldonado +3 · 1 citation
Mathematics · #30L99 #31E05 #35B65 #35J60 #35J70 #46E35 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:30L99 #msc:31E05 #msc:35B65 #msc:35J60 #msc:35J70 #msc:46E35

paper · pdf · doi:10.48550/arxiv.1312.0277

arxiv created 2014/06/08 · arxiv updated 2014/06/10

Abstract

In various analytical contexts, it is proved that a weak Sobolev inequality implies a doubling property for the underlying measure.

Cited by

• Existence and uniqueness of solutions of degenerate elliptic equations with lower order terms

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