Abstract and Applied Analysis 
Volume 2003 (2003), Issue 9, Pages 539-545
doi:10.1155/S1085337503209015

Solutions to H-systems by topological and iterative methods

P. Amster and M. C. Mariani

 Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires 1428, Argentina
Received 2 May 2002

Abstract

We study H-systems with a Dirichlet boundary data g. Under some conditions, we show that if the problem admits a solution for some (H0,g0), then it can be solved for any (H,g) close enough to (H0,g0). Moreover, we construct a solution of the problem applying a Newton iteration.