On the uniqueness of solutions of the homogeneous curvature equations

Timothy R. Cranny

Annales de l'I.H.P. Analyse non linéaire (1996)

  • Volume: 13, Issue: 5, page 619-630
  • ISSN: 0294-1449

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Cranny, Timothy R.. "On the uniqueness of solutions of the homogeneous curvature equations." Annales de l'I.H.P. Analyse non linéaire 13.5 (1996): 619-630. <http://eudml.org/doc/78395>.

@article{Cranny1996,
author = {Cranny, Timothy R.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {viscosity solutions; degenerate prescribed curvature equation},
language = {eng},
number = {5},
pages = {619-630},
publisher = {Gauthier-Villars},
title = {On the uniqueness of solutions of the homogeneous curvature equations},
url = {http://eudml.org/doc/78395},
volume = {13},
year = {1996},
}

TY - JOUR
AU - Cranny, Timothy R.
TI - On the uniqueness of solutions of the homogeneous curvature equations
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1996
PB - Gauthier-Villars
VL - 13
IS - 5
SP - 619
EP - 630
LA - eng
KW - viscosity solutions; degenerate prescribed curvature equation
UR - http://eudml.org/doc/78395
ER -

References

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  1. [1] M.G. Crandall and P.-L. Lions, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc., Vol. 277, 1983, pp. 1-42. Zbl0599.35024MR690039
  2. [2] N.N. Ivochkina, Solution of the Dirichlet problem for curvature equations of order m, Mat. Sb., Vol. 180, 1989, pp. 867-887; English trans. Math. USSR. Sb., Vol. 67, 1990, pp. 317-339. Zbl0695.35074MR1014618
  3. [3] R. Jensen, P.-L. Lions and P.E. Souganidis, A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations, Proc. Amer. Math. Soc., Vol. 102, 1988, pp. 975-978. Zbl0662.35048MR934877
  4. [4] M. Lin and N.S. Trudinger, The Dirichlet problem for the prescribed curvature quotient equations, Top. Methods in Nonlinear Analysis, Vol. 3, 1994, pp. 1-17. Zbl0812.58016MR1281990
  5. [5] N.S. Trudinger, The Dirichlet problem for the prescribed curvature equations, Arch. Rat. Mech. Anal., Vol. 111, 1990, pp. 153-179. Zbl0721.35018MR1057653
  6. [6] N.S. Trudinger, Isoperimetric inequalities for quermassintegrals, Ann. l'Inst. Henri Poincaré. Analyse non linéaire, Vol. 11 (4), 1994, pp. 411-425. Zbl0859.52001MR1287239

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