Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 144, pp. 1-8.

Title: Nonlinear boundary conditions for elliptic equations
       
Authors: Pablo Amster (Univ. de Buenos Aires, Argentina)
         Maria Cristina Mariani (New Mexico State Univ., Las Cruces, NM, USA)
	 Osvaldo Mendez (Univ. of Texas, El Paso, TX, USA)

Abstract: 
 This work is devoted to the study of the elliptic equation
 $\Delta u = f(x,u)$ in a bounded domain $\Omega\subset \mathbb{R}^n$
 with a nonlinear boundary condition.
 We obtain various existence results applying coincidence
 degree theory and the method of upper and lower solutions.
 
Submitted  November 15, 2004. Published December 8, 2005.
Math Subject Classifications: 35J25, 35J60.
Key Words: Nonlinear elliptic problems; nonlinear boundary conditions;
           topological methods.