TY - JOUR
T1 - Starshaped Compact Hypersurfaces with Prescribed M-th Mean Curvature in Elliptic Space
JO - Journal of Partial Differential Equations
VL - 3
SP - 68
EP - 80
PY - 2002
DA - 2002/08
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5456.html
KW - Nonlinear elliptic equations
KW - Spaces of constant sectional curvature
KW - Hypersurfaces with prescribed curvature functions
AB -  We consider the problem of finding a compact starshaped hypresurface in a space form for which the normalized m-th elementary symmetric function of principal curvatures is a prescribed function. In this paper the conditions for the existence of at least one solution to a nonlinear second order elliptic equation of that problem are established in case of a space form with positive sectional curvature.