Sharp exponents and a Wiener type condition for boundary regularity of quasiminimizers

Abstract

We obtain a sufficient condition for boundary regularity of quasiminimizers of the p-energy integral in terms of a Wiener type sum of power type. The exponent in the sum is independent of the dimension and is explicitly expressed in terms of p and the quasiminimizing constant. We also show by an example that the exponent is sharp in a certain sense.

References in corpus (2)

• A Wiener-Type Condition for Boundary Continuity of Quasi-Minima of Variational Integrals
• Minima of quasisuperminimizers

Cited by in corpus (7)

• The Liouville theorem for $p$-harmonic functions and quasiminimizers with finite energy
• A Wiener-Type Condition for Boundary Continuity of Quasi-Minima of Variational Integrals
• Classification of metric measure spaces and their ends using $p$-harmonic functions
• Tensor products and sums of p-harmonic functions, quasiminimizers and p-admissible weights
• Minima of quasisuperminimizers
• Regularity properties for quasiminimizers of a $(p,q)$-Dirichlet integral
• Some Properties of DeGiorgi Classes