Special Session 56: Variational methods for nonlinear PDEs

Uniqueness for a class of nonlinear elliptic equations with lower order terms

Vincenzo Ferone
Universit\\`{a} di Napoli Federico II
Italy
Co-Author(s):    Angelo Alvino; Anna Mercaldo
Abstract:
We discuss existence and uniqueness results for weak solution to a class of homogeneous Dirichlet boundary value problems for equations containing a $p$-laplacian, $1< p< 2$, and a lower order term which grows as a power of the gradient. The source term is suitably summable and satisfies a smallness condition.