On a class of Hessian quotient type equations on Riemannian manifolds

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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