Continuity of Sobolev functions of variable exponent on metric spaces
Mizuta, Yoshihiro ; Shimomura, Tetsu
Proc. Japan Acad. Ser. A Math. Sci., Tome 80 (2004) no. 6, p. 96-99 / Harvested from Project Euclid
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Our aim in this paper is to discuss continuity of Sobolev functions of variable exponent on metric spaces in the limiting case of Sobolev's imbedding theorem.
Publié le : 2004-06-14
Classification:  Hölder continuity,  differentiability,  weighted Sobolev spaces,  $A_p$-weight,  $p$-Poincaré inequality,  Sobolev's imbedding theorem of variable exponent,  46E35 
@article{1116014784,
     author = {Mizuta, Yoshihiro and Shimomura, Tetsu},
     title = {Continuity of Sobolev functions of variable exponent on metric spaces},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {80},
     number = {6},
     year = {2004},
     pages = { 96-99},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1116014784}
}

Mizuta, Yoshihiro; Shimomura, Tetsu. Continuity of Sobolev functions of variable exponent on metric spaces. Proc. Japan Acad. Ser. A Math. Sci., Tome 80 (2004) no. 6, pp.  96-99. http://gdmltest.u-ga.fr/item/1116014784/