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Estimate of the Hölder constant for solutions to m-Hessian equations

Author:
N. M. Ivochkina and N. V. Filimonenkova  


Journal:
Journal of Mathematical Sciences


Issue Date:
2009


Abstract(summary):

An a priori estimate for the H枚lder constant with exponent 0 < α < 1 is obtained for smooth solutions to m-Hessian equations in a closed domain with (m − 1)-convex boundary of class C 2. The H枚lder constant depends on the L p -norm, p > [n(n + 1)]/2, of the right-hand side of the equation, and the estimate remains valid for approximate solutions. Bibliography: 4 titles.


Page:
67-74


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