Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two

Giovanna Idone

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Displaying similar documents to “Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two”

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. $L^{- 1} {| z |}^{p} \leq f (x, s, z) \leq {L (1 + | z |}^{p}) .$