On Uniqueness of Boundary Blow-Up Solutions of a Class of Nonlinear Elliptic Equations |
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| Authors: | Hongjie Dong Seick Kim |
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| Affiliation: | 1. Department of Mathematics , University of Chicago , Chicago, Illinois, USA;2. Center for Mathematics and Its Applications , The Australian National University , Canberra, Australia |
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| Abstract: | We study boundary blow-up solutions of semilinear elliptic equations Lu = u + p with p > 1, or Lu = e au with a > 0, where L is a second order elliptic operator with measurable coefficients. Several uniqueness theorems and an existence theorem are obtained. |
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| Keywords: | Boundary blow-up Nonlinear elliptic equations Uniqueness |
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