In this Note we prove an a priori estimate and the existence of a solution for a class of nonlinear elliptic problems whose model is -div A(x)Du + alpha(0)u = gamma vertical bar Du vertical bar(q) + f(x), when 1 < q < 2 and f is an element of L-m (Omega) for some suitable in. The main interest of the result lies in the a priori estimate, the complete proof of which is given in the Note.
Grenon, N., Murat, F., Porretta, A. (2006). Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms. COMPTES RENDUS MATHÉMATIQUE, 342(1), 23-28 [10.1016/j.crma.2005.09.027].
Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms
PORRETTA, ALESSIO
2006-01-01
Abstract
In this Note we prove an a priori estimate and the existence of a solution for a class of nonlinear elliptic problems whose model is -div A(x)Du + alpha(0)u = gamma vertical bar Du vertical bar(q) + f(x), when 1 < q < 2 and f is an element of L-m (Omega) for some suitable in. The main interest of the result lies in the a priori estimate, the complete proof of which is given in the Note.File in questo prodotto:
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