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Positive solutions of a degenerate elliptic equation with logistic reaction |
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| Authors: | Shingo Takeuchi |
| Affiliation: | Department of Mathematics, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan |
| Abstract: | The degenerate elliptic equation |
| Keywords: | $p$-Laplace operator degenerate elliptic equation flat hat flat core multiple solutions |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |
with zero Dirichlet boundary condition, where 
is a positive parameter, 
and 
, is studied in three aspects: existence of maximal solution, 
-dependence of maximal solution and multiplicity of solutions.