Higher regularity theory for $(s,p)$-harmonic functions

Verena Bögelein; Frank Duzaar; Naian Liao; Giovanni Molica Bisci; Raffaella Servadei

doi:10.4171/rlm/1041

JournalsrlmVol. 35, No. 2pp. 311–321

Higher regularity theory for $(s, p)$ -harmonic functions

Verena Bögelein
Universität Salzburg, Salzburg, Austria
Frank Duzaar
Universität Salzburg, Salzburg, Austria
Naian Liao
Universität Salzburg, Salzburg, Austria
Giovanni Molica Bisci
University of Urbino Carlo Bo, Urbino, Italy
Raffaella Servadei
University of Urbino Carlo Bo, Urbino, Italy

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Abstract

In this note, we announce some new regularity estimates concerning higher Sobolev and Hölder regularity for $(s, p)$ -harmonic functions.

Cite this article

Verena Bögelein, Frank Duzaar, Naian Liao, Giovanni Molica Bisci, Raffaella Servadei, Higher regularity theory for $(s, p)$ -harmonic functions. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 35 (2024), no. 2, pp. 311–321

DOI 10.4171/RLM/1041