Hessian Measures III

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The k-Hessian Equation (2009, result): “The proof of the weak continuity in x8, which uses ideas from [ TW1 ,TW5], is difierent from that in [TW2].”
Quasilinear and Hessian equations of Lane-Emden type (2005, background): “Here u belongs to the class of k-subharmonic (or k-convex) functions on introduced by Trudinger and Wang in [ TW1 ]‐[TW2].”
Singular quasilinear and Hessian equations and inequalities (2009, methodology): “Here the notion of k-subharmonic (k-convex) functions associated with the fully nonlinear k-Hessian operator Fk, k = 1,...,n, introduced by Trudinger and Wang in [ 31 ]‐[33] will play a role similar to that of A-superharmonic functions in the quasilinear theory.”
The Yamabe problem for higher order curvatures (2005, methodology): “obtained by extending the theory of Hessian measures in [TW1, TW3 ] to the operators of the type F0.”
On the weak continuity of elliptic operators and applications to potential theory (2002, background): “fully nonlinear Hessian operators in [45, 46 , 47], together with that of Labutin [30], are a weak convergence result and a pointwise potential estimate for subharmonic functions.”
Wiener regularity for large solutions of nonlinear equations (2003, background): “In [43], the Wiener criterion was proved for Hessian equations. Hessian equations [74], [ 72 ],”