Existence and regularity for scalar minimizers of affine nonconvex simple integrals

✍ Scribed by António Ornelas

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 131 KB
• Volume: 53
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(02)00309-7

✦ Synopsis

Existence of AC minimizers

under the general hypotheses of lower semicontinuity, boundedness below, and superlinear growth at inÿnity in x (•). Any nonconvex function h : R → [0; + ∞] will do, provided it is convex at = 0.

Moreover, minimizers are shown to satisfy several regularity properties, under adequate hypotheses.