Concentration-Compactness Principle for Generalized Trudinger Inequalities
Copyright policy )Concentration-Compactness Principle for Generalized Trudinger Inequalities
Let \Omega\subset\mathbb R^n , n\geq 2 , be a bounded domain and let \alpha < n-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\big(t^{\frac{n}{n-1-\alpha}}\big)-1 .
- Charles University Czech Republic
- Czech University of Life Sciences Prague Czech Republic
Orlicz-Sobolev spaces, concentration-compactness, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Existence theories in calculus of variations and optimal control, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Orlicz-Sobolev spaces, concentration-compactness, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Existence theories in calculus of variations and optimal control, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).5 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!