Sharp generalized Trudinger inequalities via truncation for embedding into multiple exponential spaces

Robert Černý

Displaying similar documents to “Sharp generalized Trudinger inequalities via truncation for embedding into multiple exponential spaces”

On generalized Moser-Trudinger inequalities without boundary condition

Robert Černý (2012)

Czechoslovak Mathematical Journal

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We give a version of the Moser-Trudinger inequality without boundary condition for Orlicz-Sobolev spaces embedded into exponential and multiple exponential spaces. We also derive the Concentration-Compactness Alternative for this inequality. As an application of our Concentration-Compactness Alternative we prove that a functional with the sub-critical growth attains its maximum.

Sobolev embeddings for variable exponent Riesz potentials on metric spaces.

Futamura, Toshihide, Mizuta, Yoshihiro, Shimomura, Tetsu (2006)

Annales Academiae Scientiarum Fennicae. Mathematica

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Note on the concentration-compactness principle for generalized Moser-Trudinger inequalities

Robert Černý (2012)

Open Mathematics

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Let Ω ⊂ ℝn, n ≥ 2, be a bounded domain and let α < n − 1. Motivated by Theorem I.6 and Remark I.18 of [Lions P.-L., The concentration-compactness principle in the calculus of variations. The limit case. I, Rev. Mat. Iberoamericana, 1985, 1(1), 145–201] and by the results of [Černý R., Cianchi A., Hencl S., Concentration-Compactness Principle for Moser-Trudinger inequalities: new results and proofs, Ann. Mat. Pura Appl. (in press), DOI: 10.1007/s10231-011-0220-3], we give a sharp estimate...

Mappings with dilatation in Orlicz spaces.

Jana Björn (2002)

Collectanea Mathematica

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Composition operator on Bergman-Orlicz space.

Jiang, Zhijie, Cao, Guangfu (2009)

Journal of Inequalities and Applications [electronic only]

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Superposition of imbeddings and Fefferman's inequality

Miroslav Krbec, Thomas Schott (1999)

Bollettino dell'Unione Matematica Italiana

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In questo lavoro si studiano condizioni sufficienti sulla funzione peso $V$ , espresse in termini di integrabilità, per la validità della disuguaglianza ${(\int_{B} u^{2} (x) V (x) d x)}^{\frac{1}{2}} \leq c {(\int_{B} {(\nabla u (x))}^{2} d x)}^{\frac{1}{2}},$ dove $B$ denota una sfera in $R^{N}$ . Usando una tecnica di decomposizione di immersioni si dimostrano condizioni sufficienti in termini di appartenenza a spazi di Lebesgue, Lorentz-Orlicz e/o di tipo debole. Come applicazioni vengono fornite condizioni sufficienti per la proprietà forte di prolungamento unico per $|Δ u| \leq V |u|$ nelle dimensioni 2 e 3. ...