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- W2044237097 abstract "We study Sobolev embeddings in the Sobolev space $W^{1,p(cdot)}(Omega)$ with variable exponent satisfying $1leqslant p(x) leqslant n$. Since the exponent is allowed to reach the values $1$ and $n$, we need to introduce new techniques, combining weak- and strong-type estimates, and a new variable exponent target space scale which features a space of exponential type integrability instead of $L^infty$ at the upper end." @default.
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- W2044237097 date "2008-07-01" @default.
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- W2044237097 title "Sobolev inequalities for variable exponents attaining the values 1 and $n$" @default.
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- W2044237097 doi "https://doi.org/10.5565/publmat_52208_05" @default.
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