Litcius/Paper detail

Nonuniformly elliptic Schauder theory

Cristiana De Filippis, Giuseppe Mingione

2023Inventiones mathematicae53 citationsDOIOpen Access PDF

Abstract

Abstract Local Schauder theory holds in the nonuniformly elliptic setting. Specifically, first derivatives of solutions to nonuniformly elliptic problems are locally Hölder continuous if so are their coefficients.

Topics & Concepts

MathematicsMathematical analysisQuarter periodJacobi elliptic functionsElliptic curvePure mathematicsAdvanced Mathematical Modeling in EngineeringNonlinear Partial Differential EquationsStability and Controllability of Differential Equations