Isoperimetric inequalities for quermassintegrals
Annales de l'I.H.P. Analyse non linéaire, Tome 11 (1994) no. 4, pp. 411-425. 
@article{AIHPC_1994__11_4_411_0,
     author = {Trudinger, Neil S.},
     title = {Isoperimetric inequalities for quermassintegrals},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {411--425},
     publisher = {Gauthier-Villars},
     volume = {11},
     number = {4},
     year = {1994},
     mrnumber = {1287239},
     zbl = {0859.52001},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_1994__11_4_411_0/}
}
TY  - JOUR
AU  - Trudinger, Neil S.
TI  - Isoperimetric inequalities for quermassintegrals
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 1994
SP  - 411
EP  - 425
VL  - 11
IS  - 4
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPC_1994__11_4_411_0/
LA  - en
ID  - AIHPC_1994__11_4_411_0
ER  - 
%0 Journal Article
%A Trudinger, Neil S.
%T Isoperimetric inequalities for quermassintegrals
%J Annales de l'I.H.P. Analyse non linéaire
%D 1994
%P 411-425
%V 11
%N 4
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPC_1994__11_4_411_0/
%G en
%F AIHPC_1994__11_4_411_0
Trudinger, Neil S. Isoperimetric inequalities for quermassintegrals. Annales de l'I.H.P. Analyse non linéaire, Tome 11 (1994) no. 4, pp. 411-425. http://www.numdam.org/item/AIHPC_1994__11_4_411_0/

[1] Yu D. Burago and V.A. Zalgaller, Geometric Inequalities, Springer-Verlag, Berlin, 1988. | MR | Zbl

[2] H. Busemann, Convex Surfaces, Wiley Interscience, New York, 1958. | MR | Zbl

[3] D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, Second edition, Springer-Verlag, Berlin, 1983. | MR | Zbl

[4] N.M. Ivochkina, The Dirichlet problem for the equations of curvature of order, m. St Petersburg Math. J., 2, 1991, pp. 631-654. | MR | Zbl

[5] N.J. Korevaar, Sphere theorems via Aleksandrov for constant Weingarten curvature, J. Diff. Geom., 27, 1988, pp. 221-223. | Zbl

[6] P.L. Lions, N.S. Trudinger and J.J.E. Urbas, The Neumann problem for equations of Monge-Ampère type, Comm. Pure Appl. Math., 39, 1986, pp. 539-563. | MR | Zbl

[7] R.C. Reilly, On the Hessian of a function and the curvatures of its graph, Michigan Math. J. 20, 1973, pp. 373-383. | MR | Zbl

[8] L. Santalo, Integral Geometry and Geometric Probability, Addison-Wesley, Cambridge, Mass., 1977. | MR | Zbl

[9] N.S. Trudinger, On degenerate fully nonlinear equations in balls, Bull. Aust. Math. Soc., 35, 1987, pp. 299-307. | MR | Zbl

[10] N.S. Trudinger, A priori bounds for graphs with prescribed curvature, In Analysis, etc., Academic Press, 1990, pp. 667-676. | MR | Zbl

[11] N.S. Trudinger, A priori bounds and necessary conditions for solvability of prescribed curvature equations, Manuscripta Math., 67, 1990, pp. 99-112. | EuDML | MR | Zbl

[12] N.S. Trudinger, The Dirichlet problem for the prescribed curvature equations, Arch. Rat. Mech. Anal., 111, 1990, pp. 153-170. | MR | Zbl

[13] N.S. Trudinger, On the Dirichlet problem for Hessian equations, Aust. Nat. Univ. Centre for Math. and its Appl., Research Report M25, 1994. | MR

[14] N.S. Trudinger, On new isoperimetric inequalities and symmetrization, in preparation. | Zbl

[15] N.S. Trudinger and J.J.E. Urbas, The Dirichlet problem for the equation of prescribed Gauss curvature, Bull. Aust. Math. Soc., 28, 1983, pp. 217-231. | MR | Zbl