Global Lipschitz continuity for minima of degenerate problems
نویسندگان
چکیده
منابع مشابه
Global Lipschitz continuity for minima of degenerate problems
We consider the problem of minimizing the Lagrangian ∫ [F (∇u)+f u] among functions on Ω ⊂ R with given boundary datum φ. We prove Lipschitz regularity up to the boundary for solutions of this problem, provided Ω is convex and φ satisfies the bounded slope condition. The convex function F is required to satisfy a qualified form of uniform convexity only outside a ball and no growth assumptions ...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2016
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-016-1362-9