Dipartimento di Scienze di Base e Applicate per l'Ingegneria

Sezione di Matematica

Home page of Raffaela Capitanelli

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Raffaela Capitanelli

Ricercatore Universitario Confermato in Analisi Matematica

Indirizzo:

Dipartimento di Scienze di Base e Applicate per l’Ingegneria

Sezione di Matematica

Via A.Scarpa, 16 00161

Roma, Italia

telefono:+39-06-49916660

e-mail: raffaela.capitanelli "at"uniroma1.it

NEW WEBPAGE

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CURRENT POSITION

Assistant Professor in Mathematical Analysis at the University of Rome “Sapienza”(since March 1st, 2007).

STUDIES

Degree in “Mathematics"- University of Rome “Sapienza”. Final grade:110/110cum laude.

PhD in “Mathematics"- University of Rome “Sapienza”.

Master in “Didactics of Mathematics and of Applied Mathematics”- University of Rome “Sapienza”.

Master in “Didactics of Mathematics"- University of Rome “Sapienza” –Università degli Studi di Torino.

FELLOWSHIPS

1992-1995 Master Fellowships -Department of Mathematics at University of Rome “Sapienza”.

1996-2000 Doctoral Fellowships. -Department of Mathematics at University of Rome “Sapienza”

01/11/00 -28/02/01 Fellowship in “Produzione di algoritmi numerici e files grafici di rete per problemi al contorno su insiemi frattali"- Department of Physics at University of Rome “Sapienza”.

01/04/01 - 30/09/01 Fellowship in “Tecniche matematiche applicate alla modellistica differenziale"- Department MeMoMat at Universityof Rome “Sapienza”.

01/07/02-30/06/03 INdAM Fellowship -Department of Physics atUniversity of Rome“Sapienza”.

01/07/2003- 28/02/2007 Post-PhD Fellowships -Department MeMoMat at University of Rome “Sapienza”.

RESEARCH INTERESTS Calculus of Variations, Potential Theory, Analysis in Metric Spaces, Fractals, Boundary Value Problems in Irregular Domains.

PUBLICATIONS

R.Capitanelli, “Nonlinear energy forms on certain fractal curves", J. Nonlinear Convex Anal. 3(2002), no.1,67--80.

R.Capitanelli, M.R. Lancia,“Nonlinear energy forms and Lipschitz spaces on the Koch curve", J.Convex Anal. 9(2002), no.1,245--257.

R.Capitanelli, “Functional inequalities for measure valued Lagrangians on homogeneous spaces ", Adv.Math. Sci. Appl. 13(2003), no.1, 301--313.

R.Capitanelli, “Homogeneous p-Lagrangians and self-similarity", Rend. Accad. Naz. Sci. XL Mem. Mat. Appl. 27 (2003), 215--235. pdf

R. Capitanelli, M.R. Lancia, “Nonlinear energy forms and Lipschitzs spaces on the infinite Koch curve", Special Theme Issue “Wavelet and Fractal Methods in Science and Engineering", Arab. J.Sci. Eng.Sect.C Theme Issues 29 (2004), no. 2, 101--110.

R.Capitanelli, “Harnack inequalities for p-Laplacians on metric fractals", Progr. Nonlinear Differential Equations Appl., 63 (2005), 119--126.

R.Capitanelli, “Harnack inequalities for p-Laplacians associated to homogeneous p-Lagrangians", Nonlinear Analysis Series A: Theory, Methods &Applications 66, no. 6 (2007),1302--1317. doi:10.1016/j.na.2006.01.017.

R. Capitanelli, “p-Lagrangians on fractals" , Subelliptic PDE's and applications togeometry and finance, Lect. Notes Semin. Interdiscip. Mat. 6(2007), 83--91.

R.Capitanelli, “Mixed Dirichlet-Robin problems in irregular domains", Journal Communications to SIMAI Congress, VIII Congresso SIMAI. vol. 2(2007) doi:10.1685/CSC06035.

R.Capitanelli, “Richiami di Matematica", In: Rocchi P. “Manuale del Geometra e del Laureato Junior” p.65--123, Proctor Edizioni, 2009.

R.Capitanelli, “Transfer across scale irregular domains", Series on Advances in Mathematics for Applied Sciences 82 (2009), 165--174.

R.Capitanelli, “Asymptotics for mixed Dirichlet-Robin problems in irregular domains", J. Math. Anal. Appl. 362(2010) ,450--459. doi:10.1016/j.jmaa.2009.09.042.

R.Capitanelli, “Robin boundary condition on scale irregular fractals", Commun. Pure Appl. Anal. 9 (2010),1221--1234. doi:10.3934/cpaa.2010.9.1221.

R. Capitanelli, M.A. Vivaldi, “Trace Theorems on Scale Irregular Fractals” in “Classification and Application of Fractals”, Nova Publishers, 2011.

R. Capitanelli, M.A. Vivaldi, “Insulating Layers and Robin Problems on Koch Mixtures”, Journal of Differential Equations 251 (2011),1332-1353. doi:10.1016/j.jde.2011.02.003

R. Capitanelli, M.A. Vivaldi, “On the Laplacean transfer across fractal mixtures”, Asymptotic Analysis 83 (2013) (1-2), 1-33. doi:10.3233/ASY-2012-1149

R.Capitanelli, M.R. Lancia, M.A. Vivaldi, “Insulating layers of fractal type”, Differential and Integral Equations 26 (2013) (9-10), 1055-1076. http://projecteuclid.org/euclid.die/1372858561

R. Capitanelli, M.A. Vivaldi, “Uniform weighted estimates on pre-fractal domains”, Discrete Contin. Dyn. Syst. Ser B 19 (2014), no. 7, 1969-1985. doi:10.3934/dcdsb.2014.19.1969

R. Capitanelli, M.A. Vivaldi, “Weighted estimates on fractal domains”, Mathematika, 61 (2015), no. 2, 370 —384. DOI: http://dx.doi.org/10.1112/S0025579314000400

R. Capitanelli, M.A. Vivaldi, “Quasi-filling fractal layers”, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 26 (2015), 1-9.

R. Capitanelli, M.A. Vivaldi, “Reinforcement problems for variational inequalities on fractal sets”, Calculus of Variations and Partial Differential Equations (2015) doi:10.1007/s00526-015-0882-6.

F. Camilli, R. Capitanelli, C. Marchi, “ Eikonal equations on the Sierpinski gasket”, Mathematische Annalen (2015), doi:10.1007/s00208-015-1251-7.

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