6533b85cfe1ef96bd12bcc22

RESEARCH PRODUCT

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

Vesa JulinBenny Avelin

subject

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)

description

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.

yearjournalcountryeditionlanguage
2017-01-01
http://urn.fi/URN:NBN:fi:jyu-201703011548