On principal eigenvalues for boundary value problems with indefinite weight and Robin boundary conditions
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- by G. A. Afrouzi and K. J. Brown PDF
- Proc. Amer. Math. Soc. 127 (1999), 125-130 Request permission
Abstract:
We investigate the existence of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem $- \Delta u(x) = \lambda g(x) u(x)$ on $D$; $\frac {\partial u} {\partial n} (x) + \alpha u(x) = 0$ on $\partial D$, where $D$ is a bounded region in $\mathbf {R}^N$, $g$ is an indefinite weight function and $\alpha \in \mathbf {R}$ may be positive, negative or zero.References
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Additional Information
- G. A. Afrouzi
- Affiliation: Department of Mathematics, Faculty of Basic Sciences, Mazandaran University, P.O.Box 311, Babolsar, Iran
- K. J. Brown
- Affiliation: Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, United Kingdom
- Email: K.J.Brown@hw.ac.uk
- Received by editor(s): April 30, 1997
- Additional Notes: The first author gratefully acknowledges financial support from the Ministry of Culture and Higher Education of the Iran Islamic Republic.
- Communicated by: Jeffrey B. Rauch
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 125-130
- MSC (1991): Primary 35J15, 35J25
- DOI: https://doi.org/10.1090/S0002-9939-99-04561-X
- MathSciNet review: 1469392