Global gradient bounds for relaxed variational problems |
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| Authors: | Martin Fuchs Li Gongbao |
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| Institution: | 1. Fachbereich 9 Mathematik, Universit?t des Saarlandes, 66123, Saarbrücken, Germany
2. Young Scientists Lab. of Math. Physics, Chinese Academy of Sciences, P.O. Box 71007, 430071, Wuhan, P.R. of China
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| Abstract: | We prove global Lipschitz regularity for solutionsu : Ω → ℝ
N
of some relaxed variational problems in classes of functions with prescribed Dirichlet boundary data. The variational integrals
under consideration are of the form ∫Ω
W(▽
u
)dx withW of quadratic growth. |
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| Keywords: | 49 N 60 |
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