Anzellotti pairing theory revisited and applications to 1-Laplace elliptic equations
Università degli Studi Trento
38123 Povo (TN)
Tel +39 04 61/281508-1625-1701-3786
dept.math [at] unitn.it
Luogo: Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Aula Seminari "-1"
Relatrice: Virginia De Cicco (Sapienza Università di Roma)
In this talk I will present a very general Gauss-Green formula for weakly differentiable functions and sets of finite perimeter. This result is obtained by revisiting the Anzellotti's pairing theory and by characterizing the measure pairing (A, Du), when A is a bounded divergence measure vector field andu is a bounded function of bounded variation. In the second part, I will show an application to the 1-Laplace elliptic equations.
Referente: Francesco Serra Cassano