Elliptic PDE's - Carnot – Caratheodory metrics

G.Di Fazio - P.Zamboni - M.S. Fanciullo – A.O.Caruso - G.Arena

Recent Papers

• G.Arena -  A.O.Caruso -  R.Monti  - Regularity properties of H-convex sets - The Journal of Geometric Analysis Vol 22, N.2, 583-602  DOI: 10.1007/s12220-010-9203-7

• G. Di Fazio – M.S. Fanciullo - P.Zamboni - Harnack inequality for a class of strongly degenerate elliptic operators formed by H\"ormander vector fields, to appear in Manuscripta Mathematica  DOI 10.1007/s00229-010-0420-y

• G. Di Fazio – M.S. Fanciullo - P.Zamboni - Interior L^p estimates for degenerate elliptic equations in divergence form with  VMO coefficients, to appear in Journal of Differential and Integral Equations

• G. Di Fazio – M.S. Fanciullo - P.Zamboni - Harnack inequality and regularity for degenerate quasilinear elliptic equations -  Math. Z.   DOI: 10.1007/s00209-009-0485-z

• G. Arena - A.O. Caruso and A.Causa - Taylor formula on step two Carnot groups - Revista Matematica Iberoamericana Vol.26, N.1, Pagg. 239-259, 2010 ;

• G. Di Fazio – M.S. Fanciullo - P.Zamboni - Harnack inequality and smoothness for quasilinear degenerate elliptic equations -  Journal of differential equations Volume 245, Issue 10/, /15 November 2008, Pages 2939-2957;

• G. Di Fazio – P.Zamboni - Unique continuation for positive solutions of degenerate elliptic equations - Math. Nachr. 283 (2010), no. 7, 994–999 ;

• G. Di Fazio – C. Gutierrez – E. Lanconelli - Covering Theorems, Inequalities on Metric Spaces and applications to PDE's – Math. Annalen (2008) - Volume 341, Number 2 / June, 2008;

• A.O. Caruso – M.S. Fanciullo -- BMO on spaces of homogeneous type: a density result in C-C spaces- Ann. Acad. Sci. Fenn. Math. 32 (2007), no. 1, 13—26;

• Domokos, András; M.S. Fanciullo On the best constant for the Friedrichs-Knapp-Stein inequality in free nilpotent Lie groups of step two and applications to subelliptic PDE. J. Geom. Anal. 17 (2007), no. 2, 245—252;

• G. Di Fazio – P. Zamboni - Regularity for quasilinear degenerate elliptic equations – Math.Z. -Volume 253, Number 4 / August, 2006;

• G. Di Fazio – M.S. Fanciullo – A.Domokos – J.Manfredi Subelliptic Cordes estimates in the Gru\v{s}in plane – Manuscripta Mathematica Volume 120, Number 4 / August, 2006 pp.419-433;

• G. Di Fazio – P. Zamboni - Local regularity of solutions to quasilinear subelliptic equations in Carnot Caratheodory spaces Boll.U.M.I. Sez.B (8) 8 (2006) n.2, 485—504;

• G.Di Fazio - P.Zamboni - Hoelder continuity for quasilinear subelliptic equations in Carnot Caratheodory spaces Math. Nachr. 272 (2004) 3–10;

• G. Di Fazio – P. Zamboni - Unique continuation of non negative solutions to quasilinear subelliptic equations in Carnot Caratheodory spaces Comm. on applied nonlinear analysis vol.10 (2003),n.2, 97-105;

• G.Di Fazio – M.S. Fanciullo - BMO regularity for elliptic systems in Carnot–Carath´eodory spaces Comm. on applied nonlinear analysis vol.10 (2003),n.2, 81-95;

• F. Borrello - Degenerate elliptic equations and Morrey spaces – Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 10 (2007), no. 3, bis, 989--1011.

• F. Borrello - On degenerate elliptic equations in Morrey spaces - Le Matematiche Vol. LXI (2006) – Fasc. I, 13-26;

• G. Arena - A.O. Caruso A Whitney extension type theorem in step-2 Carnot Groups preprint;

• A.O. Caruso Local S^p estimates for variational hypoelliptic operators with VMO coefficients preprint;