Local Boundedness of Minimizers of Anisotropic Functionals

Authors

  • Shijin Ding Department of Mathematics, South China Normal University, Guangzhou, Guangdong 510631, China

Keywords:

Variational problem;anisotropic Sobolev spaces;local bounded ness;minimizers

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.

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Published

1995-08-01

Issue

Vol. 8 No. 3 (1995)

Section

Articles