Bounded solutions for Dirichlet problems with degenerate coercivity and a quadratic gradient term
Lucio Boccardo, Andrea Dall'Aglio

Abstract. We give existence results for weak solutions of Dirichlet problems for elliptic equations having degenerate coercivity and a first order term which has quadratic growth with respect to the gradient. The proof is based on the use of test functions having exponential growth

Rend. Mat. Appl. (7) 45 (2024) 245-254; pdf