Liouville type theorems and regularity of solutions to degenerate or singular problems part II: odd solutions

Liouville type theorems and regularity of solutions to degenerate or singular problems part II: odd solutions

We consider a class of equations in divergence form with a singular/degenerate weight \[ -\mathrm{div}(|y|^a A(x,y)\nabla u)=|y|^a f(x,y)+\textrm{div}(|y|^aF(x,y))\;. \] Under suitable regularity assumptions for the matrix $A$, the forcing term $f$ and the field $F$, we prove Hölder continuity of so...

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Bibliographic Details
Main Authors: Yannick Sire, Susanna Terracini, Stefano Vita
Format: Article
Language:English
Published: AIMS Press 2021-10-01
Series:Mathematics in Engineering
Subjects:
degenerate and singular elliptic equations
liouville type theorems
blow-up
fractional laplacian
divergence form elliptic operator
schauder estimates
boundary harnack
fermi coordinates
Online Access:https://www.aimspress.com/article/10.3934/mine.2021005/fulltext.html

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https://www.aimspress.com/article/10.3934/mine.2021005/fulltext.html

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