Urbas, John2015-12-130944-2669http://hdl.handle.net/1885/90312We 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 > n20002015-12-12