Local behavior of fractional p-minimizers

2015/05/02 by Agnese Di Castro, Tuomo Kuusi, Giampiero Palatucci · 2 citations
Mathematics · #math.AP

paper · pdf · doi:10.1016/j.anihpc.2015.04.003

26 pages. To appear in Ann. Inst. H. Poincare Anal. Non Lineaire. arXiv admin note: text overlap with arXiv:1405.7842

arxiv created 2015/05/02 · arxiv updated 2016/09/21

Abstract

We extend the De Giorgi-Nash-Moser theory to nonlocal, possibly degenerate integro-differential operators.

Citations

• Nonlocal Harnack inequalities

Cited by

• Local Behavior of Fractional Equations in Grushin-type Spaces
• Local Boundedness of a Direction Dependent Double Phase Nonlocal Elliptic Equation
• Lipschitz regularity of fractional p-Laplacian
• Nonlocal Quasilinear Parabolic Equations in Heisenberg Group: Local Boundedness with an Optimal Tail