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

DOI10.4171/RLM/1041MaRDI QIDQ6652726

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

Publication date: 13 December 2024

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

Hölder regularityfractional \(p\)-Laplaciangradient regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Integro-differential operators (47G20)

Cites Work

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• Local behavior of fractional \(p\)-minimizers
• Higher Sobolev regularity for the fractional \(p\)-Laplace equation in the superquadratic case
• Remarks on the regularity of the minimizers of certain degenerate functionals
• Regularity for a class of nonlinear elliptic systems
• Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\)
• Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case
• A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Lévy Processes and Stochastic Calculus
• Financial Modelling with Jump Processes
• Higher Hölder regularity for the fractional \(p\)-Laplace equation in the subquadratic case

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