An existence result for a nonconvex variational problem via regularity
作者： Irene Fonseca , Nicola Fusco , Paolo Marcellini
DOI: 10.1051/COCV:2002004
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摘要: Local Lipschitz continuity of minimizers certain integrals the Calculus Variations is obtained when integrands are convex with respect to gradient variable, but not necessarily uniformly . In turn, these regularity results entail existence variational problems non-homogeneous nonconvex variable. The x -dependence, explicitly appearing in integrands, adds significant technical difficulties proof.
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