journal article Dec 01, 1976

Best constant in Sobolev inequality

View at Publisher Save 10.1007/bf02418013
Topics

No keywords indexed for this article. Browse by subject →

References
13
[1]
L. Bers - F. John - M. Schechter,Partial Differential Equations, Interscience (1964)
[2]
G. A. Bliss,An integral inequality, Journal London Math. Soc.,5 (1930). 10.1112/jlms/s1-5.1.40
[3]
H. Federer,Curvature measure, Trans. Amer. Math. Soc.,93 (1959). 10.1090/s0002-9947-1959-0110078-1
[4]
H. Federer - W. Fleming,Normal and integral currents, Annals of Math.,72 (1960). 10.2307/1970227
[5]
W. Fleming,Functions whose partial derivatives are measures, Illinois J. Math.,4 (1960). 10.1215/ijm/1255456061
[6]
W. Fleming - R. Rishel,An integral formula for total gradient variation, Arch. Math.,11 (1960). 10.1007/bf01236935
[7]
M. Miranda,Distribuzioni aventi derivate misure, Ann. Scuola Norm. Sup. Pisa,18 (1964).
[8]
M. Miranda,Sul minimo dell'integrale del gradiente di una funzione, Ann. Scuola Norm. Sup. Pisa,19 (1965).
[9]
M. Miranda,Disuguaglianze di Sobolev sulle ipersuperfici minimali, Rend. Sem. Mat. Univ. Padova,38 (1967).
[10]
G. Rosen,Minimum value for c in the Sobolev inequality, SIAM J. Appl. Math.,21 (1971). 10.1137/0121004
[11]
S. L. Sobolev,On a theorem of functional analysis (in russian), Mat. Sb.,4 (1938).
[12]
S. L. Sobolev,Applications of functional analysis in mathematical physics, Amer. Math. Soc. (1963). 10.1090/mmono/007
[13]
L. C. Young,Partial area, Rivista Mat. Univ. Parma,10 (1959).
Cited By
1,451
Michigan Mathematical Journal
Journal of Differential Equations
Physics Letters B
Calculus of Variations and Partial...
Communications in Mathematical Phys...
Optimal estimates for fractional fast diffusion equations

Juan Luis Vázquez, Bruno Volzone · 2015

Journal de Mathématiques Pures et A...
Communications in Mathematical Phys...
Transactions of the American Mathem...
Journal of Mathematical Sciences
Duke Mathematical Journal
The Yamabe problem

John M. Lee, Thomas H. Parker · 1987

Bulletin of the American Mathematic...
Sobolev inequalities with remainder terms

Haïm Brezis, Elliott H. Lieb · 1985

Journal of Functional Analysis
Metrics
1,451
Citations
13
References
Details
Published
Dec 01, 1976
Vol/Issue
110(1)
Pages
353-372
License
View
Cite This Article
Giorgio Talenti (1976). Best constant in Sobolev inequality. Annali di Matematica Pura ed Applicata, 110(1), 353-372. https://doi.org/10.1007/bf02418013
Related

You May Also Like