An interpolation inequality in exterior domains
Rendiconti del Seminario Matematico della Università di Padova, Tome 112 (2004), pp. 11-39. 
@article{RSMUP_2004__112__11_0,
     author = {Crispo, Francesca and Maremonti, Paolo},
     title = {An interpolation inequality in exterior domains},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {11--39},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {112},
     year = {2004},
     mrnumber = {2109950},
     zbl = {1105.35150},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_2004__112__11_0/}
}
TY  - JOUR
AU  - Crispo, Francesca
AU  - Maremonti, Paolo
TI  - An interpolation inequality in exterior domains
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2004
SP  - 11
EP  - 39
VL  - 112
PB  - Seminario Matematico of the University of Padua
UR  - http://www.numdam.org/item/RSMUP_2004__112__11_0/
LA  - en
ID  - RSMUP_2004__112__11_0
ER  - 
%0 Journal Article
%A Crispo, Francesca
%A Maremonti, Paolo
%T An interpolation inequality in exterior domains
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2004
%P 11-39
%V 112
%I Seminario Matematico of the University of Padua
%U http://www.numdam.org/item/RSMUP_2004__112__11_0/
%G en
%F RSMUP_2004__112__11_0
Crispo, Francesca; Maremonti, Paolo. An interpolation inequality in exterior domains. Rendiconti del Seminario Matematico della Università di Padova, Tome 112 (2004), pp. 11-39. http://www.numdam.org/item/RSMUP_2004__112__11_0/

[1] R. A. Adams, Sobolev spaces, Academic Press New York, (1975). | MR | Zbl

[2] V. I. Burenkov, Extension of functions with preservation of Sobolev seminorm, Trudy Mat. Inst. Steklov, 172 (1985), pp. 71-85 (English transl. in Proc. Steklov Inst. Math., 3 (1987), pp. 81-95). | MR | Zbl

[3] E. Gagliardo, Proprietà di alcune classi di funzioni in più variabili, Ricerche Mat. Univ. Napoli, 7 (1958), pp. 102-137. | MR | Zbl

[4] E. Gagliardo, Ulteriori proprietà di alcune classi di funzioni in più variabili, Ricerche Mat. Univ. Napoli, 8 (1959), pp. 24-51. | MR | Zbl

[5] G. P. Galdi, An introduction to the mathematical theory of the Navier-Stokes equations, Springer-Verlag, 38 (1994). | Zbl

[6] G. P. Galdi - P. Maremonti, Monotonic decreasing and asymptotic behaviour of the kinetic energy for weak solutions of the Navier-Stokes equations in exterior domain, Arch. Rational Mech. Anal., 94 (1986), pp. 253-266. | MR | Zbl

[7] V. P. Il'In, Certain inequalities in function spaces and their application to the analysis of convergence in variational processes, Trudy Mat. Inst. Steklov, 66 (1959), pp. 64-127 (Transl. Amer. Math. Soc. Transl., ser. 2, 81(1969), pp. 1-66). | MR | Zbl

[8] G. H. Knightly, On a class of global solutions of the Navier-Stokes equations, Arch. Rational Mech. Anal., 21 (1966), pp. 211-245. | MR | Zbl

[9] P. Maremonti, Some interpolation inequalities involving Stokes operator and first order derivatives, Ann. Mat. Pura Appl. (IV), 175 (1998), pp. 59-91. | MR | Zbl

[10] C. Miranda, Su alcune diseguaglianze integrali, Mem. Acc. Lincei, 7 (1963), pp.1-14. | MR | Zbl

[11] C. Miranda, Su alcuni teoremi di inclusione, Annales Polonici Math., 16 (1965), pp. 305-315. | MR | Zbl

[12] C. Miranda, Istituzioni di analisi funzionale lineare, U.M.I., Oderisi, Gubbio, 1 (1978).

[13] L. Nirenberg, On elliptic partial differential equations, Ann. Sc. Norm. Sup. Pisa, 13 (1959), pp. 123-131. | Numdam | MR | Zbl

[14] L. Nirenberg, An extended interpolation inequality, Ann. Sc. Norm. Sup. Pisa, 20 (1966), pp. 733-737. | Numdam | MR | Zbl

[15] V. A. Solonnikov, Inequalities for functions of the class Wp (Rn ), J. Soviet Math., 3 (1975), pp. 549-564. | Zbl