Boundary blow-up in nonlinear elliptic equations of Bieberbach-Rademacher type |
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| Authors: | Florica-Corina Cî rstea Vicentiu Radulescu |
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| Affiliation: | Department of Mathematics, The Australian National University, Canberra, ACT 0200, Australia ; Department of Mathematics, University of Craiova, 200585 Craiova, Romania |
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| Abstract: | We establish the uniqueness of the positive solution for equations of the form  in  ,  . The special feature is to consider nonlinearities  whose variation at infinity is not regular (e.g.,  ,  ,  ,  ,  ,  ,  or  ) and functions  in  vanishing on  . The main innovation consists of using Karamata's theory not only in the statement/proof of the main result but also to link the nonregular variation of  at infinity with the blow-up rate of the solution near  . |
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| Keywords: | Large solutions boundary blow-up regular variation theory |
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