TY - JOUR
T1 - Local Boundedness of Minimizers of Anisotropic Functionals
AU - Ding , Shijin
JO - Journal of Partial Differential Equations
VL - 3
SP - 242
EP - 248
PY - 1995
DA - 1995/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5656.html
KW - Variational problem
KW - anisotropic Sobolev spaces
KW - local bounded ness
KW - minimizers
AB -  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.