Geometric Methods in PDE’s (eBook)

1 On Friedrichs commutators lemma for Hardy spaces and applications. Jorge Hounie.- 2 On the Hardy constant of some non-convex planar domains. Gerassimos Barbatis and Achilles Tertikas.- 3 Sharp singular Trudinger-Moser-Adams type inequalities with exact growth. Nguyen Lam and Guozhen Lu. 4 A Quantitative Lusin Theorem for Functions in BV. András Telcs and Vincenzo Vespri.- 5 X-Elliptic Harmonic Maps. Sorin Dragomir.- 6 Sum operators and Fefferman - Phong inequalities. Giuseppe Di Fazio, Maria Stella Fanciullo, Pietro Zamboni.- 7 Lp-parabolic regularity and non-degenerate Ornstein-Uhlenbeck type Operators. Enrico Priola.- 8 Local solvability of nonsmooth Hörmander’s operators. Marco Bramanti.- 9 Multiple solutions for an eigenvalue problem involving non–local elliptic p–Laplacian operators. Patrizia Pucci and Sara Saldi.- 10 Uniqueness of solutions of a class of quasilinear subelliptic equations. Lorenzo D’Ambrosio and Enzo Mitidieri.- 11 Liouville type theorems for non-linear differential inequalities on Carnot groups. Luca Brandolini and Marco Magliaro.- 12 Modica type gradient estimates for reaction-diffusion equations. Agnid Banerjee and Nicola Garofalo.- 13 A few recent results on fully nonlinear pde’s. Italo Capuzzo Dolcetta.- 14 Hölder regularity of the gradient for solutions of fully nonlinear equations with sub linear first order term. Isabeau Birindelli and Francoise Demengel.- 15 The Reflector Problem and the inverse square law. Cristian E. Gutiérrez and Ahmad Sabra.- 16 Gagliardo-Nirenberg inequalities for horizontal vector fields in the Engel group and in the 7-dimensional quaternionic Heisenberg group. Annalisa Baldi, Bruno Franchi and Francesca Tripaldi.- 17 Regularity of the free boundary in problems with distributed sources. Daniela De Silva, Fausto Ferrari, Sandro Salsa.- 18 The role of fundamental solution in Potential and Regularity Theory for subelliptic PDE. Andrea Bonfiglioli, Giovanna Citti, Giovanni Cupini, Maria Manfredini, Annamaria Montanari, Daniele Morbidelli, Andrea Pascucci, Sergio Polidoro, Francesco Uguzzoni.