On the differentiability of weak solutions of certain non-elliptic equations II
H. Marcinkowska (1963)
Studia Mathematica
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Displaying similar documents to “On existence of the weak solution for non-linear partial differential equations of elliptic type”
On the differentiability of weak solutions of certain non-elliptic equations II
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Jan Bochenek (1965)
Annales Polonici Mathematici
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Some remarks on bounded and unbounded weak solutions of elliptic systems.
Rüdiger Landes (1989)
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On the smoothness of weak solutions of strong-nonlinear nondiagonal elliptic systems (the two-dimensional case).
Arkhipova, A. (2004)
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B. Szafirski (1967)
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Weak compactness of solutions for fourth order elliptic systems with critical growth
Paweł Goldstein, Paweł Strzelecki, Anna Zatorska-Goldstein (2013)
Studia Mathematica
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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.
Quasilinear Elliptic Operations and Weak Solutions of the Euler Equation.
Rüdiger Landes (1979)
Manuscripta mathematica
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Local properties of solutions of elliptic partial differential equations
A. Calderón, A. Zygmund (1961)
Studia Mathematica
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On the regularity of weak solutions to non linear elliptic systems of partial differential equations.
M. Giaquinta, J. Necas (1980)
Journal für die reine und angewandte Mathematik
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Solvability of quasilinear elliptic equations with strong dependence on the gradient.
Žubrinić, Darko (2000)
Abstract and Applied Analysis
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An existence and approximation theorem for solutions of degenerate quasilinear elliptic equations
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.