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Volumn 346, Issue 13-14, 2008, Pages 757-762

Gagliardo-Nirenberg inequalities involving the gradient L2-norm

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EID: 46449130823     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2008.05.015     Document Type: Article
Times cited : (37)

References (10)
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    • Agueh M. Sharp Gagliardo-Nirenberg inequalities and Mass transport theory. J. Dynam. Differential Equations 18 4 (2006) 1069-1093
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    • Agueh, M.1
  • 2
    • 46449101388 scopus 로고    scopus 로고
    • M. Agueh, Sharp Gagliardo-Nirenberg inequalities via p-Laplacian type equations, Nonlinear Differential Equations, submitted for publication
    • M. Agueh, Sharp Gagliardo-Nirenberg inequalities via p-Laplacian type equations, Nonlinear Differential Equations, submitted for publication
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    • 2442517322 scopus 로고    scopus 로고
    • Geometric inequalities via a general comparison principle for interacting gases
    • Agueh M., Ghoussoub N., and Kang X. Geometric inequalities via a general comparison principle for interacting gases. Geom. Funct. Anal. 14 (2004) 215-244
    • (2004) Geom. Funct. Anal. , vol.14 , pp. 215-244
    • Agueh, M.1    Ghoussoub, N.2    Kang, X.3
  • 4
    • 84963043487 scopus 로고
    • Sharp constant in Nash's inequality
    • Carlen E., and Loss M. Sharp constant in Nash's inequality. Internat. Math. Res. Not. 7 (1993) 213-215
    • (1993) Internat. Math. Res. Not. , vol.7 , pp. 213-215
    • Carlen, E.1    Loss, M.2
  • 5
    • 1242299735 scopus 로고    scopus 로고
    • A mass transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities
    • Cordero-Erausquin D., Nazaret B., and Villani C. A mass transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities. Adv. Math. 182 (2004) 307-332
    • (2004) Adv. Math. , vol.182 , pp. 307-332
    • Cordero-Erausquin, D.1    Nazaret, B.2    Villani, C.3
  • 6
    • 0036710614 scopus 로고    scopus 로고
    • Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions
    • Del-Pino M., and Dolbeault J. Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions. J. Math. Pures Appl. 90 81 (2002) 847-875
    • (2002) J. Math. Pures Appl. , vol.90 , Issue.81 , pp. 847-875
    • Del-Pino, M.1    Dolbeault, J.2
  • 7
    • 0001092506 scopus 로고
    • Proprietà di alcune classi di funzioni più variabili
    • Gagliardo E. Proprietà di alcune classi di funzioni più variabili. Ric. Mat. 7 (1958) 102-137
    • (1958) Ric. Mat. , vol.7 , pp. 102-137
    • Gagliardo, E.1
  • 8
    • 0001574726 scopus 로고
    • An estimate for the best constant in a Sobolev inequality involving three integral norms
    • Levine H.A. An estimate for the best constant in a Sobolev inequality involving three integral norms. Ann. Mat. Pura Appl. (4) 124 (1980) 181-197
    • (1980) Ann. Mat. Pura Appl. (4) , vol.124 , pp. 181-197
    • Levine, H.A.1
  • 9
    • 0000973918 scopus 로고
    • On elliptic partial differential equations
    • Nirenberg L. On elliptic partial differential equations. Ann. Sc. Norm. Pisa 13 (1959) 116-162
    • (1959) Ann. Sc. Norm. Pisa , vol.13 , pp. 116-162
    • Nirenberg, L.1
  • 10
    • 0000820023 scopus 로고    scopus 로고
    • Uniqueness of ground states for quasilinear elliptic equations
    • Serrin J., and Tang M. Uniqueness of ground states for quasilinear elliptic equations. Indiana Univ. Math. J. 49 3 (2000) 897-923
    • (2000) Indiana Univ. Math. J. , vol.49 , Issue.3 , pp. 897-923
    • Serrin, J.1    Tang, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.