Smoothness for systems of degenerate variational inequalities with natural growth

Martin Fuchs

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Displaying similar documents to “Smoothness for systems of degenerate variational inequalities with natural growth”

Existence via partial regularity for degenerate systems of variational inequalities with natural growth

Martin Fuchs (1992)

Commentationes Mathematicae Universitatis Carolinae

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We prove the existence of a partially regular solution for a system of degenerate variational inequalities with natural growth.

Partial continuity for elliptic problems

Mikil Foss, Giuseppe Mingione (2008)

Annales de l'I.H.P. Analyse non linéaire

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Regularity results for a class of obstacle problems

Michela Eleuteri (2007)

Applications of Mathematics

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We prove some optimal regularity results for minimizers of the integral functional $\int f (x, u, D u) d x$ belonging to the class $K : = {u \in W^{1, p} (Ω) u \geq ψ}$ , where $ψ$ is a fixed function, under standard growth conditions of $p$ -type, i.e. $L^{- 1} {| z |}^{p} \leq f (x, s, z) \leq {L (1 + | z |}^{p}) .$