PUBBLICAZIONI

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. pdf

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.

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. doi:10.1007/3-7643-7384-9_13

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 doi: 10.1142/9789814280303_0015

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), no.4, 465-473, doi:10.4171/RLM/716

R. Capitanelli, M.A. Vivaldi, “Reinforcement problems for variational inequalities on fractal sets”, Calculus of Variations and Partial Differential Equations 54 (2015), no.3, 2751-2783. doi:10.1007/s00526-015-0882-6.

F. Camilli, R. Capitanelli, C. Marchi, “ Eikonal equations on the Sierpinski gasket”, Mathematische Annalen 364 (2016), no 3, 1167 - 1188 doi:10.1007/s00208-015-1251-7.

R. Capitanelli, M.A. Vivaldi, “ Dynamical Quasi-Filling Fractal Layers". SIAM J. Math. Anal.48 (2016), no. 6, 3931–3961.

http://dx.doi.org/10.1137/15M1043893

R. Capitanelli, M D'Ovidio, "Asymptotic for time-changed diffusion", Probability Theory and Mathematical Statistics (2016), no. 95,

37-54 http://probability.univ.kiev.ua/tims/index.php?year=2016&volume=95

R. Capitanelli, M D'Ovidio, "Skew Brownian diffusions across Koch interfaces", Potential analysis 46 (2017), no. 3, 431–461. doi: http://dx.doi.org/10.1007/s11118-016-9588-4

F. Camilli, R. Capitanelli, M.A. Vivaldi, "Absolutely Minimizing Lipschitz Extensions and infinity harmonic functions on the Sierpinski gasket", Nonlinear Anal. 163 (2017), 71–85. https://doi.org/10.1016/j.na.2017.07.005

R. Capitanelli, C. Pocci, "On the effective interfacial resistance through quasi-filling fractal layers", Chaos, Solitons & Fractals

105 (2017), 43-50. https://doi.org/10.1016/j.chaos.2017.09.036

R. Capitanelli, M.A. Vivaldi, “FEM for quasilinear obstacle problems in bad domains", ESAIM: M2AN 51 (2017), 6, 2465-2485 https://doi.org/10.1051/m2an/2017033

R. Capitanelli, C. Pocci, “Periodic homogenization for quasi-filling fractal layers", Communications in Contemporary Mathematics 20 (2018), no.8, 1750088-1 - 1750088-26 https://doi.org/10.1142/S0219199717500882

R. Capitanelli, S. Fragapane, M. A. Vivaldi, "Regularity results for p-Laplacian in pre-fractal domains", Advances

in Nonlinear Analysis 8 (2019), no. 1, 1043–1056. https://doi.org/10.1515/anona-2017-0248

R. Capitanelli, S. Fragapane, "Asymptotics for quasilinear obstacle problems in bad domains", Discrete and Continuous Dynamical Systems - Series S 12 (2019), no.1, 43-56. http://aimsciences.org/article/doi/10.3934/dcdss.2019003

R. Capitanelli, M. D'Ovidio," Fractional equations via convergence of forms". Fract. Calc. Appl. Anal. 22 (2019), no. 4, 844–870. https://doi.org/10.1515/fca-2019-0047

R. Capitanelli, M. D'Ovidio," Delayed and rushed motions through time change", ALEA, Lat. Am. J. Probab. Math. Stat. 17, 183–204 (2020) http://alea.impa.br/articles/v17/17-08.pdf

R. Capitanelli, M.A. Vivaldi, “Limit of 𝑝-Laplacian obstacle problems", Advances in Calculus of Variations, 2020,

https://doi.org/10.1515/acv-2019-0058

R. Capitanelli, M.A. Vivaldi, “Sharp Trudinger Type Inequalities for Measure-Valued Lagrangeans", Journal of Convex Analysis 28 (2021), No. 2, [final page numbers not yet available] http://www.heldermann.de/JCA/JCA28/JCA282/jca28025.htm

R. Capitanelli, M. D'Ovidio, "Fractional Cauchy problem on random snowflakes", Journal of Evolution Equations (2021) DOI 10.1007/s00028-021-00673-7 https://rdcu.be/cfEXh

C. Alberini, R. Capitanelli, S. F. Finzi Vita, "A numerical study of a degenerate diffusion equation driven by a Heaviside function", Computers and Mathematics with Applications, 89 (2021). 139-149 https://doi.org/10.1016/j.camwa.2021.03.002