Concentration–compactness Principle for Embedding into Multiple Exponential Spaces
نویسنده
چکیده
Let Ω⊂Rn , n 2 , be a bounded domain and let α < n−1 . We prove the ConcentrationCompactness Principle for the embedding of the Orlicz-Sobolev space W 1 0 L n logn−1 L logα logL(Ω) into the Orlicz space corresponding to a Young function that behaves like exp(exp(t n n−1−α )) for large t . We also give the result for the case of the embedding into triple and other multiple exponential spaces. Mathematics subject classification (2010): 46E35, 46E30, 49J99.
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تاریخ انتشار 2012