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Titlebook: Nonlinear Problems in Mathematical Physics and Related Topics I; In Honor of Professo Michael Sh. Birman,Stefan Hildebrandt,Nina N. Ural Bo

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978-1-4613-5234-1Springer Science+Business Media New York 2002
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International Mathematical Serieshttp://image.papertrans.cn/n/image/667663.jpg
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A Priori Estimates for Starshaped Compact Hypersurfaces with Prescribed ,th Curvature Function in SWe obtain a priori bounds for solutions of the nonlinear second-order elliptic equation of the geometric problem consisting in finding a compact starshaped hypersurface in a space form whose .th elementary symmetric function of principal curvatures is a given function.
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,Strong Solutions to the Problem of Motion of a Rigid Body in a Navier—Stokes Liquid under the ActioThis paper is devoted to the motion of a rigid body in an infinite Navier-Stokes liquid under the action of external forces and torques. For sufficiently regular data, we prove the existence of a local strong solution to the corresponding initial-boundary-value problem for the system body-liquid.
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Lq-Estimates of the First-Order Derivatives of Solutions to the Nonstationary Stokes Problem,For a solution to the nonstationary Stokes problem in the half-space . with the external force ., we establish the . .-estimates for the first-order derivatives of the vector field of velocities and prove that the pressure does not belong to the space ..
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