Solutions to Nonlinear Elliptic Equations with a Nonlocal Boundary Condition
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Date
2002-01-08
Authors
Wang, Yuandi
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Nonlocal boundary condition, Eigenvalue, Comparison principle, Semigroup
Citation
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.