Speaker: D.Sc., Professor Galakhov E. I. (RUDN University, Moscow)
Title of the talk: «Nonexistence of solutions for some weakly anti-coercive inequalities».
ABSTRACT. We prove nonexistence of nontrivial nonnegative solutions to inequalities of the form div(A(x,u,Du)Du)≥f(u) in Rn under some growth bounds for functions A and f, which generalize conditions obtained by L. D’Ambrosio, E. Mitidieri (2012).