Maximum principles for curvature quotient equations

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J. Math. Sci. Univ. Tokyo
Vol. 1 (1994), No. 3, Page 551--565.

Trudinger, Neil S.
Maximum principles for curvature quotient equations
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Abstract:
We derive estimates for the magnitude of solutions of equations determined by quotients of mean curvature functions, extending and refining previous estimates for higher order mean curvature equations. Our proofs use the recent isoperimetric inequalities for quermassintegrals obtained by the author.

Mathematics Subject Classification (1991): Primary 35J35, 35J60, 35J65; Secondary 53C45

Mathematical Reviews Number: MR1322691

Received: 1995-01-23

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