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A weak comparison principle for solutions of very degenerate elliptic equations
Giulio Ciraolosubject
Discrete mathematicsPure mathematicsApplied MathematicsDegenerate energy levelsWeak comparison principleMathematics::Analysis of PDEs35B51 35J70 35D30 49K20Mathematics - Analysis of PDEsSettore MAT/05 - Analisi Matematicavery degenerate elliptic equationsFOS: MathematicsPoint (geometry)Nabla symbolBorel setDivergence (statistics)Analysis of PDEs (math.AP)Mathematicsdescription
We prove a comparison principle for weak solutions of elliptic quasilinear equations in divergence form whose ellipticity constants degenerate at every point where \(\nabla u\in K\), where \(K\subset \mathbb{R }^N\) is a Borel set containing the origin.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-09-20 | Annali di Matematica Pura ed Applicata (1923 -) |