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Some interior regularity results for solutions of Hessian equations

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Urbas, John

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Springer

Abstract

We prove monotonicity formulae related to degenerate k-Hessian equations which yield Morrey type estimates for certain integrands involving the second derivatives of the solution. In the special case k = 2 we deduce that weak solutions in W2,p(Ω), p > n

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Calculus of Variations and Partial Differential Equations

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2037-12-31