On weak minima of certain integral functionals
Volume 69 / 1998
Annales Polonici Mathematici 69 (1998), 37-48
DOI: 10.4064/ap-69-1-37-48
Abstract
We prove a regularity result for weak minima of integral functionals of the form $∫_Ω F(x,Du) dx$ where F(x,ξ) is a Carathéodory function which grows as $|ξ|^p$ with some p > 1.