Geodesic
SOBOLEV INEQUALITIES FOR ORLICZ SPACES OF TWO VARIABLE EXPONENTS
Glasgow mathematical journal, Tome 52 (2010) no. 2, pp. 227-240

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DOI

Our aim in this paper is to deal with Sobolev's embeddings for Sobolev–Orlicz functions with ∇u ∈ Lp(·) logLq(·)(Ω) for Ω ⊂ n. Here p and q are variable exponents satisfying natural continuity conditions. Also the case when p attains the value 1 in some parts of the domain is included in the results.
DOI : 10.1017/S0017089509990292
Mots-clés : 46E30 
HÄSTÖ, PETER; MIZUTA, YOSHIHIRO; OHNO, TAKAO; SHIMOMURA, TETSU. SOBOLEV INEQUALITIES FOR ORLICZ SPACES OF TWO VARIABLE EXPONENTS. Glasgow mathematical journal, Tome 52 (2010) no. 2, pp. 227-240. doi: 10.1017/S0017089509990292
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     author = {H\"AST\"O, PETER and MIZUTA, YOSHIHIRO and OHNO, TAKAO and SHIMOMURA, TETSU},
     title = {SOBOLEV {INEQUALITIES} {FOR} {ORLICZ} {SPACES} {OF} {TWO} {VARIABLE} {EXPONENTS}},
     journal = {Glasgow mathematical journal},
     pages = {227--240},
     year = {2010},
     volume = {52},
     number = {2},
     doi = {10.1017/S0017089509990292},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509990292/}
}
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