Boundary Harnack inequalities for operators of p-Laplace type in Reifenberg flat domains

• In this paper we highlight a set of techniques that recently have been used to establish boundary Harnack inequalities for p-harmonic functions vanishing on a portion of the boundary of a domain which is ‘flat’ in the sense that its boundary is well-approximated by hyperplanes. Moreover, we use these techniques to establish new results concerning boundary Harnack inequalities and the Martin boundary problem for operators of p-Laplace type with variable coefficients in Reifenberg flat domains.

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

boundary Harnack inequality

p-harmonic function

A-harmonic function

variable coefficients

Reifenberg flat domain

Martin boundary

Mathematics

matematik

Publication and Content Type

ref (subject category)

kap (subject category)