Functions with constant Laplacian satisfying Robin boundary conditions on an ellipse

Functions with constant Laplacian satisfying Robin boundary conditions on an ellipse

We study the problem of finding functions, defined within and on an ellipse, whose Laplacian is -1 and which satisfy a homogeneous Robin boundary condition on the ellipse. The parameter in the Robin condition is denoted by beta. The general solution and various asymptotic approximations are obtai...

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Bibliographic Details
Main Authors: Keady, Grant, Wiwatanapataphee, Benchawan
Format: Journal Article
Subjects:
math.AP
35J05
Online Access:http://hdl.handle.net/20.500.11937/79264

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