An extremal set of uniqueness?
David Grow, Matt Insall (1993)
Colloquium Mathematicae
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David Grow, Matt Insall (1993)
Colloquium Mathematicae
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Kiguradze, T. (1999)
Georgian Mathematical Journal
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Dagmar Medková (2008)
Kragujevac Journal of Mathematics
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Bludov, V.V. (2002)
Sibirskij Matematicheskij Zhurnal
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Kulczycki, Marcin (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Jean Esterle (1994)
Banach Center Publications
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Kirti Joshi, C. S. Yogananda (1999)
Acta Arithmetica
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While trying to understand the methods and the results of [3], especially in Section 2, we stumbled on an identity (*) below, which looked worth recording since we could not locate it in the literature. We would like to thank Dinesh Thakur and Dipendra Prasad for their comments.
Leszek Gęba, Tadeusz Pruszko (1991)
Annales Polonici Mathematici
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This paper treats nonlinear elliptic boundary value problems of the form (1) L[u] = p(x,u) in , on ∂Ω in the Sobolev space , where L is any selfadjoint strongly elliptic linear differential operator of order 2m. Using both topological degree arguments and minimax methods we obtain existence and multiplicity results for the above problem.
Tetruashvili, M. (1994)
Georgian Mathematical Journal
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Petelczyc, Krzysztof (2005)
Beiträge zur Algebra und Geometrie
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Afrouzi, G.A., Heidarkhani, S., Hossienzadeh, H., Yazdani, A. (2010)
The Journal of Nonlinear Sciences and its Applications
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Michał Morayne (1992)
Fundamenta Mathematicae
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We determine the size levels for any function on the hyperspace of an arc as follows. Assume Z is a continuum and consider the following three conditions: 1) Z is a planar AR; 2) cut points of Z have component number two; 3) any true cyclic element of Z contains at most two cut points of Z. Then any size level for an arc satisfies 1)-3) and conversely, if Z satisfies 1)-3), then Z is a diameter level for some arc.