Strong versus weak local minimizers for the perturbed Dirichlet functional

Ali Taheri

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Submission date: 08. Jan. 2001
Pages: 19
published in: Calculus of variations and partial differential equations, 15 (2002) 2, p. 215-235 
DOI number (of the published article): 10.1007/s005260100122
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Abstract:
We state and prove a sufficiency theorem for local minimizers of the functional

where . The exponent r is shown to depend on the dimension n and the growth condition of F and an exact expression is presented for this dependence. We discuss some examples and applications of this theorem.