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Mathematics Research Report CMA-MRR84-94

Maximum Principles For Curvature Quotient Equations

Neil S. Trudinger

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.


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