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Principal eigenvalues with indefinite weight functions |
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| Authors: | Zhiren Jin |
| Affiliation: | Department of Mathematics and Statistics, Wichita State University, Wichita, Kansas 67260 |
| Abstract: | Both existence and non-existence results for principal eigenvalues of an elliptic operator with indefinite weight function have been proved. The existence of a continuous family of principal eigenvalues is demonstrated. |
| Keywords: | Principal eigenvalue Laplace operator indefinite weight function conformal deformation on the unit sphere maximum principles |
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