Singularities and Liouville theorems for some special conformal Hessian equations (Q388801)

The author presents some new techniques to get an integral estimate for some special conformal Hessian equations \(\sigma_k(A^q)=u^\alpha\) in \(\Omega\) where \(\Omega\) is the whole space or the punctured unit ball. He obtains the classification of their singularities that completes previous results of González. By the developed method it is possible to deduce the Liouville theorem for the conformal Hessian equations under consideration.