A priori upper bounds of solutions satisfying a certain differential inequality on complete manifolds
Takegoshi, Kensho
Osaka J. Math., Tome 43 (2006) no. 2, p. 791-806 / Harvested from Project Euclid
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In this article we study a priori upper bounds of subsolutions satisfying a certain differential inequality (*) below on a non-compact complete Riemannian manifold $(M,g)$ without any Ricci curvature condition. Our method depends on a volume estimate of open subsets where those solutions satisfy a certain strong subharmonicity. Several applications in conformal deformation of metrics and value distribution of harmonic maps are given.
Publié le : 2006-12-14
Classification:  53C20,  53C21,  53C43,  58J05 
@article{1165850036,
     author = {Takegoshi, Kensho},
     title = {A priori upper bounds of solutions satisfying a certain differential inequality on complete manifolds},
     journal = {Osaka J. Math.},
     volume = {43},
     number = {2},
     year = {2006},
     pages = { 791-806},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1165850036}
}

Takegoshi, Kensho. A priori upper bounds of solutions satisfying a certain differential inequality on complete manifolds. Osaka J. Math., Tome 43 (2006) no. 2, pp.  791-806. http://gdmltest.u-ga.fr/item/1165850036/