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We prove the compactness of the Sobolev embedding for Musielak–Orlicz spaces by way of simple conditions on the Matuszewska index of the underlying space. We provide counterexamples to show the… Click to show full abstract
We prove the compactness of the Sobolev embedding for Musielak–Orlicz spaces by way of simple conditions on the Matuszewska index of the underlying space. We provide counterexamples to show the sharpness of our conditions.
Keywords:
sharp conditions;
embedding musielak;
sobolev embedding;
compactness sobolev;
orlicz spaces;
musielak orlicz
Journal Title: Mathematische Nachrichten
Year Published: 2019
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Journal Title: Mathematische Nachrichten
Year Published: 2019
Link to full text (if available)
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recommendations!