Positive solutions of an elliptic partial differential equation on R |
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| Authors: | Yihong Du Li Ma |
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| Institution: | a School of Mathematical and Computer Sciences, University of New England, Armidale, NSW2351, Australia
b Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China |
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| Abstract: | In this paper, we discuss the existence, nonexistence and uniqueness of positive solutions of a one-parameter family of elliptic partial differential equations on RN (N>2). These equations are of interests in mathematical biology and Riemannian geometry. Our approach are based on variational arguments and comparison principles. |
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| Keywords: | Variational method Comparison principle Boundary blow-up |
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