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  • 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 [Cerny 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 of the exponent concerning the Concentration-Compactness Principle for the embedding of the Orlicz-Sobolev space (W0Ln)-L-1 log(alpha) L(Omega) into the Orlicz space corresponding to a Young function that behaves like exp t(n/(n-1-alpha)) for large t. We also give the result for the case of the embedding into double and other multiple exponential spaces.
  • 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 [Cerny 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 of the exponent concerning the Concentration-Compactness Principle for the embedding of the Orlicz-Sobolev space (W0Ln)-L-1 log(alpha) L(Omega) into the Orlicz space corresponding to a Young function that behaves like exp t(n/(n-1-alpha)) for large t. We also give the result for the case of the embedding into double and other multiple exponential spaces. (en)
Title
  • Note on the Concentration-Compactness Principle for generalized Moser-Trudinger inequalities
  • Note on the Concentration-Compactness Principle for generalized Moser-Trudinger inequalities (en)
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  • Note on the Concentration-Compactness Principle for generalized Moser-Trudinger inequalities
  • Note on the Concentration-Compactness Principle for generalized Moser-Trudinger inequalities (en)
skos:notation
  • RIV/00216208:11320/12:10127331!RIV13-MSM-11320___
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  • RIV/00216208:11320/12:10127331
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  • Concentration-Compactness Principle; Moser-Trudinger inequality; Sharp constants; Embedding theorems; Orlicz-Sobolev spaces; Orlicz spaces (en)
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  • Černý, Robert
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  • 000301047500014
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  • 1895-1074
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  • 10.2478/s11533-011-0102-3
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  • 11320
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