Solutions to Nonlinear Elliptic Equations with a Nonlocal Boundary Condition
Southwest Texas State University, Department of Mathematics
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.
Nonlocal boundary condition, Eigenvalue, Comparison principle, Semigroup
Wang, Y. (2002). Solutions to nonlinear elliptic equations with a nonlocal boundary condition. <i>Electronic Journal of Differential Equations, 2002</i>(05), pp. 1-16.