Title of article
Continuity in two dimensions for a very degenerate elliptic equation Original Research Article
Author/Authors
Filippo Santambrogio، نويسنده , , Vincenzo Vespri، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
10
From page
3832
To page
3841
Abstract
An elliptic equation ∇⋅(F(∇u))=f∇⋅(F(∇u))=f whose ellipticity strongly degenerates for small values of ∇u∇u (say, F=0F=0 on B(0,1)B(0,1)) is considered. The aim is to prove regularity for F(∇u)F(∇u). The paper proves a continuity result in dimension 2 and presents some applications.
Keywords
Nonlinear very degenerate elliptic equation , Bidimensional case , Local continuity of the gradient , Traffic congestion
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2010
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862817
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