On the maximum of solutions for a semilinear elliptic problem
1988 ◽
Vol 108
(3-4)
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pp. 357-370
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SynopsisIn this paper we study some properties of a semilinear elliptic eigenvalue problem with nondefinite right-hand side. In the first part we show that every solution will have its maximum in some specified interval J. If the domain is inside a cone in ℝN with N > 1, then J is strictly smaller than in the one-dimensional case. In the second part we show, for bounded domains, that if the maximum is inside some subinterval of J, then for any eigenvalue there will be at most one solution.
2007 ◽
Vol 186
(4)
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pp. 721-744
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Keyword(s):
Keyword(s):
Analyzing and visualizing a discretized semilinear elliptic problem with Neumann boundary conditions
2002 ◽
Vol 18
(3)
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pp. 261-279
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Keyword(s):
2012 ◽
Vol 14
(03)
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pp. 1250021
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Keyword(s):