Complex $m$-Hessian type equations in weighted energy classes of $m$-subharmonic functions with given boundary value

Nguyen Van Phu, Nguyen Quang Dieu

In this paper, we concern with the existence of solutions of the complex $m-$Hessian type equation $-\chi (u)H_m(u)=\mu$ in the class ${\mathcal{E}}_{m,\chi }(f,\Omega )$ if there exists subsoluti…