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 the smoothness of weak solutions of strong-nonlinear nondiagonal elliptic systems (the two-dimensional case).”
On the differentiability of weak solutions of certain non-elliptic equations II
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.
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Josef Daněček (1985)
Commentationes Mathematicae Universitatis Carolinae
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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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Edward N. Dancer, Shusen Yan (2007)
Bollettino dell'Unione Matematica Italiana
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We show how a change of variable and peak solution methods can be used to prove that a number of nonlinear elliptic partial differential equations have many solutions.
Liouville Theorems for Nonlinear Elliptic Equations and Systems.
Michael Meier (1979)
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On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type
Michal Křížek, Liping Liu (1996)
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A nonlinear elliptic partial differential equation with the Newton boundary conditions is examined. We prove that for greater data we get a greater weak solution. This is the so-called comparison principle. It is applied to a steady-state heat conduction problem in anisotropic magnetic cores of large transformers.
Liouville Theorems for Nondiagonal Elliptic Systems in Arbitrary Dimensions.
Michael Meier (1981)
Mathematische Zeitschrift
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Some remarks on bounded and unbounded weak solutions of elliptic systems.
Rüdiger Landes (1989)
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