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Abstract:

In this paper we study the solutions to nonlinear mean-value formulas on fractal sets. We focus on the mean-value problem 1 2maxq Vm,p{f(q)} + 1 2minq Vm,p{f(q)}-f(p) = 0 in the Sierpiński gasket with prescribed values f(p1), f(p2) and f(p3) at the three vertices of the first triangle. For this problem we show existence and uniqueness of a continuous solution and analyze some properties like the validity of a comparison principle, Lipschitz continuity of solutions (regularity) and continuous dependence of the solution with respect to the prescribed values at the three vertices of the first triangle. © 2018 World Scientific Publishing Company.

Registro:

Documento: Artículo
Título:NONLINEAR MEAN-VALUE FORMULAS on FRACTAL SETS
Autor:Navarro, J.C.; Rossi, J.D.
Filiación:Departamento de Análisis Matemático, Universidad de Alicante, Apartado de Correos 99, Alicante, E-03080, Spain
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires Ciudad Universitaria-Pabellón i, Buenos Aires, C1428EGA, Argentina
Palabras clave:Fractal Sets; Mean-Value Formulas; Geometry; Comparison principle; Continuous dependence; Existence and uniqueness; Fractal sets; Lipschitz continuity; Mean values; Fractals
Año:2018
Volumen:26
Número:6
DOI: http://dx.doi.org/10.1142/S0218348X18500913
Título revista:Fractals
Título revista abreviado:Fractals
ISSN:0218348X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0218348X_v26_n6_p_Navarro

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Citas:

---------- APA ----------
Navarro, J.C. & Rossi, J.D. (2018) . NONLINEAR MEAN-VALUE FORMULAS on FRACTAL SETS. Fractals, 26(6).
http://dx.doi.org/10.1142/S0218348X18500913
---------- CHICAGO ----------
Navarro, J.C., Rossi, J.D. "NONLINEAR MEAN-VALUE FORMULAS on FRACTAL SETS" . Fractals 26, no. 6 (2018).
http://dx.doi.org/10.1142/S0218348X18500913
---------- MLA ----------
Navarro, J.C., Rossi, J.D. "NONLINEAR MEAN-VALUE FORMULAS on FRACTAL SETS" . Fractals, vol. 26, no. 6, 2018.
http://dx.doi.org/10.1142/S0218348X18500913
---------- VANCOUVER ----------
Navarro, J.C., Rossi, J.D. NONLINEAR MEAN-VALUE FORMULAS on FRACTAL SETS. Fractals. 2018;26(6).
http://dx.doi.org/10.1142/S0218348X18500913