The set of p-harmonic functions in B1 is total in Ck (B̄1)

DOI10.1080/17476933.2020.1860953zbMath1475.35402arXiv1906.00268OpenAlexW3117776552MaRDI QIDQ5156158

José Villa Morales

Publication date: 14 October 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.00268

zbMATH Keywords

reflections\(p\)-harmonic functionsfractional \(p\)-Laplacian

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• Variational problems with free boundaries for the fractional Laplacian
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• All functions are (locally) \(s\)-harmonic (up to a small error) -- and applications
• Growing fractal interfaces in the presence of self-similar hopping surface diffusion
• Quantitative approximation properties for the fractional heat equation
• All functions are locally s-harmonic up to a small error
• Radial symmetry for positive solutions of fractional \(p\)-Laplacian equations via constrained minimization method
• Fractional calculus for power functions and eigenvalues of the fractional Laplacian
• Homogenization of first-order equations with \((u/\varepsilon)\)-periodic Hamiltonians. I: Local equations
• An optimization problem for the first eigenvalue of the ‐fractional Laplacian

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