Special Session 34: Variational, Topological and Set-Valued Methods for Nonlinear Differential Problems

Nonhomogeneous degenerate quasilinear problems with convection

Elisabetta Tornatore
Department of Mathematics and Computer Sciences. University of Palermo
Italy
Co-Author(s):    D. Motreanu
Abstract:
We consider a nonlinear differential Dirichlet problem whose equation is driven by a degenerate p-Laplacian with a weight depending on the solution and whose reaction is a convection term, thus depending on the solution and its gradient. The existence of a weak solution is proven by arguing through a truncated auxiliary problem.