On Liouville theorem and the regularity of weak solutions to some nonlinear elliptic systems  of higher order

Lubomír Balanda; Eugen Viszus

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Displaying similar documents to “On Liouville theorem and the regularity of weak solutions to some nonlinear elliptic systems of higher order”

An integral estimate for weak solutions to some quasilinear elliptic systems

Francesco Leonetti (1991)

Commentationes Mathematicae Universitatis Carolinae

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We prove an integral estimate for weak solutions to some quasilinear elliptic systems; such an estimate provides us with the following regularity result: weak solutions are bounded.

Integrability for solutions to quasilinear elliptic systems

Francesco Leonetti, Pier Vincenzo Petricca (2010)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we prove an estimate for the measure of superlevel sets of weak solutions to quasilinear elliptic systems in divergence form. In some special cases, such an estimate allows us to improve on the integrability of the solution.

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Josef Daněček (1996)

Commentationes Mathematicae Universitatis Carolinae

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Displaying similar documents to “On Liouville theorem and the regularity of weak solutions to some nonlinear elliptic systems of higher order”

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On $ℒ_{l o c}^{2, n}$ -regularity for the gradient of a weak solution to nonlinear elliptic systems