Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609882 | Journal of Differential Equations | 2016 | 18 Pages |
Abstract
Let κ be the curvature of a smooth closed curve of length 2π. The 2π -periodic eigenvalue problems u″−gκ2u+λu=0u″−gκ2u+λu=0, where g is a real parameter, are considered and upper and lower bounds for their principal eigenvalues are obtained. The bounds are of isoperimetric type and characterize uniquely the curve in the case where equality occurs.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Vangelis Stefanopoulos,