Stability and instability of positive solutions of semipositone problems
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- Proc. Amer. Math. Soc. 114 (1992), 1035-1040 Request permission
Abstract:
We consider the boundary value problem \[ - \Delta u = f(u) {\text {in}} \Omega {\text {,}}Bu = 0 {\text {on}} \partial \Omega ,\] where $\Omega$ is a bounded region in ${\mathbb {R}^n}$ with smooth boundary. We prove stability and instability results of positive solutions under various choices of $f$.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 1035-1040
- MSC: Primary 35B35; Secondary 35J65
- DOI: https://doi.org/10.1090/S0002-9939-1992-1092928-2
- MathSciNet review: 1092928