Boundary Harnack Principle for p-harmonic Functions in Smooth Euclidean Domains

By Hiroaki Aikawa, T. Kilpeläinen, Nageswari Shanmugalingam, Xiao Zhong. 2007

96 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/3b3b67ad069881af2742fd0c554c5cb8fda3761a

Citations in the corpus

• Global H\"older regularity for the fractional $p$-Laplacian (2014, unknown): “.7) for |X− Y| ≤ 2r. Assume now |X− Y| >2r, then at least one of X, Y lies in Bc r. Clearly, if X,Y ∈ B c r, then h(X,Y) = 0. If X∈ B , Y ∈ B c r, then for any 1 ≤ i≤ Nwe define a mapping ηi ∈ C1,1([0,1]) by setting ηi(t) = Φi(X+t(Y−X)). It is readily checked that |η′′ i | ≤ CkD2Φk∞|X− Y|2 for a.e”
• Estimates of the Green Function for the Fractional Laplacian Perturbed by Gradient (2010, unknown): “Let f(t) = φ((1− t)ỹ + tx̃), t ∈ [0, 1].”