Concentration-Compactness Principle for embedding into multiple exponential spaces
Robert Černɓ · Mathematical Inequalities & Applications · 2012
Let R n , n 2 , be a bounded domain and let < n-1 . We prove the Concentration-Compactness Principle for the embedding of the Orlicz-Sobolev space W 1 0 L n log n-1 L log log L() into the Orlicz space corresponding to a Young function that behaves like exp(exp(t n n-1- )) for large t . We also give the result for the case of the embedding into triple and other multiple exponential spaces.