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Manfredi, J.J.; Parviainen, M.; Rossi, J.D. "An asymptotic mean value characterization for p-harmonic functions" (2010) Proceedings of the American Mathematical Society. 138(3):881-889
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Abstract:

We characterize p-harmonic functions in terms of an asymptotic mean value property. A p-harmonic function u is a viscosity solution to Δpu = div(|∇u|p-2∇u) = 0 with 1 < p≤∞in a domain Ω if and only if the expansion u(x) = α/2 {max/Bε(x) u + min/Bε(x) u} + β/B ε(x) ∫ B ε (x) udy + o(ε2 holds as ε → 0 for x ∈ Ω in a weak sense, which we call the viscosity sense. Here the coefficients α, β are determined by α + β = 1 and α/β = (p - 2)/(N + 2). © 2009 American Mathematical Society.

Registro:

Documento: Artículo
Título:An asymptotic mean value characterization for p-harmonic functions
Autor:Manfredi, J.J.; Parviainen, M.; Rossi, J.D.
Filiación:Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, United States
Institute of Mathematics, Helsinki University of Technology, P.O. Box 1100, 02015 TKK Helsinki, Finland
IMDEA Mateḿaticas, C-IX, Universidad Autónoma de Madrid, 28049 Madrid, Spain
FCEyN UBA (1428), Buenos Aires, Argentina
Año:2010
Volumen:138
Número:3
Página de inicio:881
Página de fin:889
DOI: http://dx.doi.org/10.1090/S0002-9939-09-10183-1
Título revista:Proceedings of the American Mathematical Society
Título revista abreviado:Proc. Am. Math. Soc.
ISSN:00029939
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v138_n3_p881_Manfredi

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Citas:

---------- APA ----------
Manfredi, J.J., Parviainen, M. & Rossi, J.D. (2010) . An asymptotic mean value characterization for p-harmonic functions. Proceedings of the American Mathematical Society, 138(3), 881-889.
http://dx.doi.org/10.1090/S0002-9939-09-10183-1
---------- CHICAGO ----------
Manfredi, J.J., Parviainen, M., Rossi, J.D. "An asymptotic mean value characterization for p-harmonic functions" . Proceedings of the American Mathematical Society 138, no. 3 (2010) : 881-889.
http://dx.doi.org/10.1090/S0002-9939-09-10183-1
---------- MLA ----------
Manfredi, J.J., Parviainen, M., Rossi, J.D. "An asymptotic mean value characterization for p-harmonic functions" . Proceedings of the American Mathematical Society, vol. 138, no. 3, 2010, pp. 881-889.
http://dx.doi.org/10.1090/S0002-9939-09-10183-1
---------- VANCOUVER ----------
Manfredi, J.J., Parviainen, M., Rossi, J.D. An asymptotic mean value characterization for p-harmonic functions. Proc. Am. Math. Soc. 2010;138(3):881-889.
http://dx.doi.org/10.1090/S0002-9939-09-10183-1