Volume 8, Issue 3
Local Boundedness of Minimizers of Anisotropic Functionals

Shijin Ding

J. Part. Diff. Eq., 8 (1995), pp. 242-248.

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  • Abstract

Using the theory of anisotropic Sobolev spaces, we discuss in this paper the relation between the growth conditions and the local boundedness of minimizers of an anisotropic variational problem. This thoroughly explains the counterexample due to Giaquinta (1987). In the sense of local boundedness, we point out a critical index.

  • History

Published online: 1995-08

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