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Regularity results for a class of obstacle problems

Michela Eleuteri — 2007

Applications of Mathematics

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

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