论文标题
具有渐近性$(P,Q)$ - 结构的自动函数
Autonomous functionals with asymptotic $(p,q)$-structure
论文作者
论文摘要
假设$ q $ - 生长假设和$ w^{1,p} $ - Quasiconvexity仅在亚Quadratic和超Quadratic案例中,我们就可以在变化的微积分中获得自主积分的最小程度的本地自主积分的规律性。
We obtain local Lipschitz regularity for minima of autonomous integrals in the calculus of variations, assuming $q$-growth hypothesis and $W^{1,p}$-quasiconvexity only asymptotically, both in the sub-quadratic and the super-quadratic case.