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On the regularity of scalar \(p\)-harmonic functions in \(n\) dimensions with \(2 \leq p < n\)

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Publication:627020
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DOI10.1007/s11565-010-0100-6zbMath1205.35053OpenAlexW2077583679MaRDI QIDQ627020

Tiziano Granucci

Publication date: 19 February 2011

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-010-0100-6


zbMATH Keywords

regularity\(p\)-harmonic functions


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Regularity of solutions in optimal control (49N60) Schrödinger operator, Schrödinger equation (35J10)


Related Items

Hölder regularity for fractional \(p\)-Laplace equations



Cites Work

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  • Remarks on the Hölder continuity of solutions to elliptic equations in divergence form
  • On the regularity of the minima of variational integrals
  • Equazioni ellittiche del II\(^ \circ\) ordine e spazi \({\mathcal L}^{(2,\lambda)}\)
  • Continuity of Solutions of Parabolic and Elliptic Equations
  • A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
  • On Harnack's theorem for elliptic differential equations
  • A harnack inequality for parabolic differential equations
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