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Asymptotic behavior
of positive solutions of some elliptic problems
E.N. Dancer, Yihong Du and Li Ma |
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Vol. 210 (2003), No. 2, 215–228
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Abstract |
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In this paper, we discuss the asymptotic behavior of the positive solutions of the problem −Δu = au−bup, u|∂Ω = 0 as p → 1 + 0 and as p →∞. We show that, for each case, the behavior is determined by a limiting problem. Moreover, the limiting problem is of free boundary nature when p →∞. |
Milestones
Received: 2 July 2001
Published: 1 June 2003
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Authors |
| E.N. Dancer | |
| School of Mathematics and
Statistics University of Sydney NSW 2006 Australia |
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| Yihong Du | |
| School of Mathematical and Computer
Sciences University of New England Armidale, NSW2351 Australia |
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| Li Ma | |
| Department of Mathematical
Sciences Tsinghua University Beijing 100084 China |
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