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Displaying similar documents to “On the smoothness of weak solutions of strong-nonlinear nondiagonal elliptic systems (the two-dimensional case).”

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.

On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type

Michal Křížek, Liping Liu (1996)

Applicationes Mathematicae

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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.