Bifurcation in calculus of variations with constraints
Keyword(s):
We describe a variational problem on a domain of a plane under a constraint of geometrical character. We provide sufficient and necessary conditions for the existence of bifurcation points. The problem in 2 coordinate form, corresponds to a quasilinear elliptic boundary value problem. The problem provides a physical model for several applications referring to continuum media and membranes.
1977 ◽
Vol 60
(2)
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pp. 449-460
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1989 ◽
pp. 182-188
1987 ◽
Vol 7
(3)
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pp. 341-359
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1984 ◽
Vol 35
(6)
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pp. 771-779
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1996 ◽
Vol 41
(6)
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pp. 467-478
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2002 ◽
Vol 6
(4)
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pp. 545-553
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