Solutions to nonlinear elliptic equations with a nonlocal boundary condition
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.
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| Format: | Article |
| Language: | English |
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Texas State University
2002-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/05/abstr.html |