On existence of the weak solution for non-linear partial differential equations of elliptic type
Jozef Kačur (1970)
Commentationes Mathematicae Universitatis Carolinae
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Jozef Kačur (1970)
Commentationes Mathematicae Universitatis Carolinae
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Rüdiger Landes (1989)
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Paweł Goldstein, Paweł Strzelecki, Anna Zatorska-Goldstein (2013)
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We consider a class of fourth order elliptic systems which include the Euler-Lagrange equations of biharmonic mappings in dimension 4 and we prove that a weak limit of weak solutions to such systems is again a weak solution to a limit system.
Arkhipova, A. (2004)
Zapiski Nauchnykh Seminarov POMI
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Rüdiger Landes (1979)
Manuscripta mathematica
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Jan Bochenek (1965)
Annales Polonici Mathematici
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Albo Carlos Cavalheiro (2018)
Commentationes Mathematicae Universitatis Carolinae
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The main result establishes that a weak solution of degenerate quasilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate quasilinear elliptic equations.
Žubrinić, Darko (2000)
Abstract and Applied Analysis
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B. Szafirski (1967)
Colloquium Mathematicae
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K. I. Iordanidis (1971)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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Devdariani, G. (2000)
Bulletin of TICMI
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Michael Meier (1981)
Mathematische Zeitschrift
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