Year: 2002
Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 3 : pp. 68–80
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2002-JPDE-5456
Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 3 : pp. 68–80
Published online: 2002-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Nonlinear elliptic equations