Local Hölder regularity for nonlocal equations with variable powers

Abstract

We prove the local boundedness and the local Hölder continuity of weak solutions to nonlocal equations with variable orders and exponents under sharp assumptions.

arXiv comment28pages. correct minor mistakes, add references

References in corpus (4)

• Regularity theory for fully nonlinear integro-differential equations
• Local behavior of fractional $p$-minimizers
• Boundary regularity for nonlocal operators with kernels of variable orders
• Regularity estimates for fractional orthotropic $p$-Laplacians of mixed order

Cited by in corpus (1)

• Regularity for nonlocal problems with non-standard growth