Regularity of minimizers for nonconvex vectorial integrals withp-q growth via relaxation methods
Regularity of minimizers for nonconvex vectorial integrals withp-q growth via relaxation methods
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通过松弛方法实现 p-q 增长的非凸向量积分最小化器的正则性
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
E. Mascolo
中科院分区：
文献类型：
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作者：
I. Benedetti;E. Mascolo
当f满足p-q增长条件且ξ f（x，ξ）非凸时，证明了向量积分局部极小值的局部Lipschitz连续性：∫Ω f（x，Du）dx。关于最后一个变量的一致凸性和径向结构条件仅在无穷远处假设。在证明中，我们使用非标准增长泛函的连续性和松弛结果。
Local Lipschitz continuity of local minimizers of vectorial integrals ∫Ω f(x,Du)dx is proved when f satisfies p-q growth condition and ξ↦f(x,ξ) is not convex. The uniform convexity and the radial structure condition with respect to the last variable are assumed only at infinity. In the proof, we use semicontinuity and relaxation results for functionals with nonstandard growth.