Critical regularity for elliptic equations from Littlewood-Paley theory II

2005/06/13 by Denis A. Labutin, Labutin, Denis A.
Mathematics · #35J60 #58J05 #58J40 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #math.AP #math.DG #msc:35J60 #msc:58J05 #msc:58J40

paper · pdf · doi:10.48550/arxiv.math/0506247

arxiv created 2005/06/13 · arxiv updated 2009/12/01

Abstract

We establish a general theorem improving regularity of solutions of elliptic pseudodifferential equations. It allows to resolve in a unified way the regularity issue for a broad class of nonlinear elliptic equations and systems appearing in different areas of geometry and analysis.

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