Charles Explorer logo
🇨🇿

Concentration compactness principle for generalized Trudinger inequalities

Publikace na Matematicko-fyzikální fakulta |
2011

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

Let $\Omega\subset\rn$, $n\geq 2$, be bounded domain and let $\alphan-1$. We prove the Concentration-Compactness Principle for the embedding of the Orlicz-Sobolev space $W^1_0L^n\log^{\alpha}L(\Omega)$ into the Orlicz space with the Young function $\exp(t^{\frac{n}{n-1-\alpha}})-1$.