Abstract

For Lagrange problems of the calculus of variations we prove wellposedness criteria in Tikhonov’s sense and with respect to small perturbations of the boundary data. The integrand depends of the gradient only. No convexity assumption is required in the sufficient conditions for wellposedness.

Author information

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Tullio Zolezzi

Dipartimento di Matematica, Università di Genova, Via L. B. Alberti 4, 16132 Genova, Italy.

Keywords

  • Hadamard and Tikhonov wellposedness
  • non convex integrals
  • calculus of variations

Suggested citation

T. Zolezzi. “Wellposed Problems of the Calculus of Variations for Nonconvex Integrals.” Journal of Convex Analysis 2 (1995), No. 1&2, 375–383. https://doi.org/10.68381/jca02024

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Published by Heldermann Verlag, 1995. Rights now held by Banach Press.