Search results for "Carleson estimate"

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A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term

2017

This paper concerns the boundary behavior of solutions of certain fully nonlinear equations with a general drift term. We elaborate on the non-homogeneous generalized Harnack inequality proved by the second author in (Julin, ARMA -15), to prove a generalized Carleson estimate. We also prove boundary H\"older continuity and a boundary Harnack type inequality.

Mathematics::Analysis of PDEsGeneralized Carleson estimateBoundary (topology)Hölder conditionnonlinear elliptic equations01 natural sciencesHarnack's principleMathematics - Analysis of PDEsMathematics::ProbabilityFOS: MathematicsNon-Lipschitz drift0101 mathematicsElliptic PDECarleson estimateHarnack's inequalityMathematics010102 general mathematicsMathematical analysista111Type inequalityLipschitz continuityTerm (time)010101 applied mathematicsNonlinear systemAnalysisAnalysis of PDEs (math.AP)
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