Gradient estimates of mean curvature equation with Neumann boundary condition in domains of Riemannian manifold
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Mathematics"
DOI: 10.1142/s0129167x17500653
Abstract: We study the prescribed mean curvature equation with Neumann boundary conditions in domains of Riemannian manifold. The main goal is to establish the gradient estimates for solutions by the maximum principle. As a consequence, we… read more here.
Keywords: domains riemannian; mean curvature; neumann boundary; equation neumann ... See more keywords
Existence and multiplicity of positive solutions of a one-dimensional mean curvature equation in Minkowski space
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DOI: 10.1186/s13661-018-0963-5
Abstract: In this paper, we consider a one-dimensional mean curvature equation in Minkowski space and the corresponding one-parameter problem. By using a fixed point theorem of cone expansion and compression of norm type, the existence and… read more here.
Keywords: mean curvature; equation minkowski; one dimensional; minkowski space ... See more keywords
The interior gradient estimate of prescribed Hessian quotient curvature equation in the hyperbolic space
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DOI: 10.3934/cpaa.2021012
Abstract: In this paper, we obtain the interior gradient estimate of the Hessian quotient curvature equation in the hyperbolic space. The method depends on the maximum principle. read more here.
Keywords: quotient curvature; interior gradient; gradient estimate; curvature equation ... See more keywords