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CLOSED SURFACE WITH PRESCRIBED MEAN CURVATURE IN R^3

CLOSED SURFACE WITH PRESCRIBED MEAN CURVATURE IN R^3
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摘要 Suppose H~* is a real function in some region of R^3. By prescribing two conditions onH~*, one can find a surface, which is homeomorphic to a primary closed surface with anarbitrary genus in R^3 and whose mean curvature is given by H~*. Suppose H~* is a real function in some region of R^3. By prescribing two conditions onH~*, one can find a surface, which is homeomorphic to a primary closed surface with anarbitrary genus in R^3 and whose mean curvature is given by H~*.
作者 黄宣国
出处 《Science China Mathematics》 SCIE 1991年第10期1162-1173,共12页 中国科学:数学(英文版)
关键词 CLOSED surface mean CURVATURE QUASILINEAR ELLIPTIC equation. closed surface mean curvature quasilinear elliptic equation.
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