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Displaying similar documents to “A remark on the L elevator S-regularity of the minima of functionals of the calculus of variations.”

The summability of solutions to variational problems since Guido Stampacchia.

Lucio Boccardo (2003)

RACSAM

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Inequalities concerning the integral of |∇u| on the subsets where |u(x)| is greater than k can be used in order to prove regularity properties of the function u. This method was introduced by Ennio De Giorgi e Guido Stampacchia for the study of the regularity of the solutions of Dirichlet problems.

Quasimonotone systems of higher order

Manfred Kronz (2003)

Bollettino dell'Unione Matematica Italiana

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We consider higher order quasimonotone nonlinear systems of divergence type with growth of order p , p ≥ 2 , and Dini continuous coefficients. Using the technique of harmonic approximation we give a direct partial regularity proof for weak solutions.