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Global Lipschitz continuity for minima of degenerate problems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bousquet, Pierre Brasco, Lorenzo |
| Copyright Year | 2015 |
| Abstract | 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 are made. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://www.researchgate.net/profile/Lorenzo_Brasco/publication/271521611_Global_Lipschitz_continuity_for_minima_of_degenerate_problems/links/54cb4afb0cf22f98631e6c06.pdf?origin=publication_list |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/hal-01144517/document |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Abnormal degeneration Convex function Courant–Friedrichs–Lewy condition Geodetic datum Maxima and minima Scott continuity Solutions Uniformly convex space |
| Content Type | Text |
| Resource Type | Article |
