Lipschitz regularity of the minimizers of autonomous integral functionals with discontinuous non-convex integrands of slow growth期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Lipschitz regularity of the minimizers of autonomous integral functionals with discontinuous non-convex integrands of slow growth

Authors:

Carlo Mariconda Giulia Treu

Affiliation:

(1) Dipartimento di Matematica pura e applicata, Università di Padova, 63 via Trieste, 35121 Padova, Italy

Abstract:

Let $L(x,xi):mathbb{R}^Ntimesmathbb{R}^Nto mathbb{R}$ be a Borelian function and let (P) be the problem of minimizing

$int_a^b L(y(t),y'(t)),hbox{d}t$

among the absolutely continuous functions with prescribed values at a and b. We give some sufficient conditions that weaken the classical superlinear growth assumption to ensure that the minima of (P) are Lipschitz. We do not assume convexity of L w.r. to $$xi$$

or continuity of L.

Keywords:

Mathematics Subject Classification (1991) 49-XX

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