Singular perturbation of a nonlinear problem with multiple solutions
1985 ◽
Vol 100
(3-4)
◽
pp. 327-341
Keyword(s):
SynopsisA nonlinear boundary value problem (P) having positive parameters L and a is considered. We associate with it a family of perturbed problems () affected by the presence of a barrier parameter γ related to L and a. There is a critical value L*(a) of the parameter L such that for L >L*(a), (P) has no regular solution. Then some natural extensions of (P), solutions of a free boundary value problem, arise as singular limits of ().
1993 ◽
Vol 49
(1-2)
◽
pp. 123-131
◽
1982 ◽
Vol 25
(3)
◽
pp. 371-379
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Keyword(s):
1986 ◽
Vol 3
(4)
◽
pp. 331-343
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1984 ◽
Vol 35
(2)
◽
pp. 181-192
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1977 ◽
Vol 2
(6)
◽
pp. 563-585
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Keyword(s):
2004 ◽
Vol 23
(1)
◽
pp. 69-87
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1994 ◽
Vol 185
(3)
◽
pp. 501-519
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