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Solution of the first biharmonic problem by the method of least squares on the boundary. (English) Zbl 0282.35041


MSC:

35J40 Boundary value problems for higher-order elliptic equations
35B45 A priori estimates in context of PDEs
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References:

[1] Nečas J.: Les méthodes dlrectes en théorie des équations elliptiques. Praha, Academia 1967.
[2] Babuška I., Rektorys K., Vyčichlo F.: Matematická teorie rovinné pružnosti. Praha NČSAV 1955.
[3] Rektorys K.: Variational methods in engineering problems and in those of mathematical physics. (Variační metody v inženýrských problémech a v problémech matematické fyziky.) In Czech: Praha, SNTL 1974. In English: Dordrecht (Holland)-Boston, Reidel Co, to appear in 1976.
[4] Бондаренко В. А.: Полигармонические полиномы. Ташкент, ФАН 1968. · Zbl 1171.62301
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