Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

On some nonlinear elliptic equations involving derivatives of the nonlinearity

J. Carrilloa1 and M. Chipota2

a1 Departamento de Ecuaciones Funcionales, Facultad de Matematicas, Universidad Complutense, Madrid 3, Spain

a2 Department of Mathematics, University of Maryland, College Park, MD 20742, U.S.A. and Département de Mathématiques, Université de Nancy I, BP 239-54506 Vandoeuvre-Cedex, France

Synopsis

We give some results on existence and uniqueness for the solution of elliptic boundary value problems of type

S0308210500013822_eqnU1

when the βi are not necessarily smooth.

(Received July 31 1984)