Year: 1995
Author: Shijin Ding
Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 3 : pp. 242–248
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1995-JPDE-5656
Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 3 : pp. 242–248
Published online: 1995-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: Variational problem