Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 05, pp. 1-16.

Title: Solutions to nonlinear elliptic equations with a 
       nonlocal boundary condition
   
Author: Yuandi Wang (Shanghai Univ., China)

Abstract:  
 We study an elliptic equation and its evolution problem
 on a bounded domain with nonlocal boundary conditions.
 Eigenvalue problems, existence, and dynamic behavior
 of solutions for linear and semilinear equations are investigated.
 We use the comparison principle and a semigroup approach.

Submitted June 15, 2001. Published January 8, 2002.
Math Subject Classifications:  35Q53, 42B35, 37K10, 35K55, 35K57.
Key Words: nonlocal boundary condition; eigenvalue;
           comparison principle; semigroup.