Continuity of solutions to \(n\)-harmonic equations

DOI10.1007/s00229-011-0514-1zbMath1250.35097OpenAlexW2099677752WikidataQ110124823 ScholiaQ110124823MaRDI QIDQ451997

Pekka Koskela, Ren Jin Jiang, Da Chun Yang

Publication date: 19 September 2012

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-011-0514-1

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Related Items (5)

Pointwise estimates of solutions to \(2 m\)-order quasilinear elliptic equations with \(m(p, q)\) growth via Wolff potentials ⋮ On the modulus of continuity of solutions to the \(n\)-Laplace equation ⋮ Gradient regularity for solutions to quasilinear elliptic equations in the plane ⋮ Continuity properties of solutions to the \(p\)-Laplace system ⋮ On the generalized \(\mathfrak{U}_{m, p}^f\) classes of De Giorgi-ladyzhenskaya-ural'tseva and pointwise estimates of solutions to high-order elliptic equations via Wolff potentials

Cites Work

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• Editor's note: the differentiability of functions in \({\mathbb{R}}^ n\)
• Gradient estimates below the duality exponent
• The Wiener test and potential estimates for quasilinear elliptic equations
• On functions with derivatives in a Lorentz space
• Nonlinear potentials, local solutions to elliptic equations and rearrangements
• Classical Fourier Analysis
• n-Laplacian in H 1 loc does not Lead to Regularity
• Continuity estimates for $n$-harmonic equations
• Estimates for \(p\)-Poisson equations

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