Publications and Preprints
A. Baldi, B. Franchi: MAXWELL’S EQUATIONS IN ANISOTROPIC MEDIA AND MAXWELL’S EQUATIONS IN CARNOT GROUPS AS VARIATIONAL LIMITS. Preprint.
A. Baldi, B. Franchi: DIFFERENTIAL FORMS IN CARNOT GROUPS: A Γ-CONVERGENCE APPROACH on Calculus of Variations and Partial Differential Equations 43, (2012) 211–229.
A. Baldi, B. Franchi, N. Tchou and M. C. Tesi, Compensated Compactness for Differential Forms in Carnot Groups and Applications, Advances in Mathematics 223 (2010), 1555--1607.
A. Baldi, B. Franchi and M. C. Tesi, Hypoellipticity, fundamental solution and Liouville type theorem for matrix--valued differential operators in Carnot groups, J. Eur. Math. Soc. 11 (2009), 777--798.
A. Baldi and F. Montefalcone, A note on the extension of BV functions in metric measure spaces, J. Math. Anal. Appl. 340 (2008) 197--208.
A. Baldi, B. Franchi and M. C. Tesi, Differential forms, Maxwell Equations, and Compensated compactness in Carnot Groups. Lect. Notes Semin. Interdiscip. Mat., 7, Semin.
Interdiscip. Mat. (S.I.M.), Potenza, 2008 (2008) 21--40.
Baldi, B. Franchi and M. C. Tesi, Compensated compactness in the contact complex of Heisenberg groups, Indiana Univ. Math. J. 81 (2008) 133--174.
N. Arcozzi and A. Baldi, From Gruschin to Heisenberg via an isoperimetric problem, J. Math. Anal. Appl. 340 (2008) 165--174.
A. Baldi, B. Franchi and M.C. Tesi,
(2007). Compensated compactness, div--curl theorem and
H-convergence in general Heisenberg groups,
Proceedings
of the Meeting "Subelliptic pde's and applications to geometry
and finance". Subelliptic pde's and applications to
geometry and finance. Cortona. 12-17 giugno 2006. vol. 6 (2007)
33--47.
A. Baldi, B. Franchi and M. C. Tesi, Compensated compactness, div-curl theorem and $H$-convergence in general Heisenberg groups. Subelliptic PDE's and applications to geometry and finance, Lect. Notes Semin. Interdiscip. Mat., 6, Semin. Interdiscip. Mat. (S.I.M.), Potenza, 2007 (2007) 33--47.
A. Baldi, B. Franchi and M. C. Tesi, Fundamental solution and sharp $L\sp p$ estimates for Laplace operators in the contact complex of Heisenberg groups, Ric. Mat. 55 (2006), no. 1, 119--144.
A. Baldi and B. Franchi, Mumford-Shah type functionals associated with doubling metric measures, Prooceedings of the Royal Society of Edinburgh, sec. A, vol. 135A (2005), 1--23.
A. Baldi and M.C. Tesi, A Gamma-convegence approach to non-periodic homogenization of strongly anisotropic functionals, Mathematical Models and Methods in Applied Sciences. vol. 14-(12) (2004), 1735--1759.
A. Baldi and B. Franchi, A $\Gamma$-convergence result for doubling metric measures and associated perimeters, Calc. Var. Partial Differential Equations 16 (2003), no. 3, 283--298.
A. Baldi, Weighted BV functions, Houston J. Math. 27 (2001), no. 3, 683--705.
A. Baldi, B. Franchi and G. Lu, An existence result for a class of semilinear subelliptic PDE's, Contributions in honor of the memory of Ennio De Giorgi (Italian). Ricerche Mat. 49 (2000), suppl., 177--193.
A. Baldi, A non-existence problem for degenerate elliptic PDE's, Comm. Partial Differential Equations 25 (2000), no. 7-8, 1371--1398.
A. Baldi, B. Franchi and M.C. Tesi, A finite element approximation and uniform error estimates for degenerate elliptic equations, Matematiche (Catania) 54 (1999), suppl., 49--60.
![]()