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In this article, we consider a combination of local and nonlocal Laplaceequation with singular nonlinearities. For such mixed problems, we establishexistence of at least one weak solution for a parameter dependent singularnonlinearity and existence of multiple solution for purturbed singularnonlinearity. Our argument is based on the variational and approximationapproach.

On a class of mixed local and nonlocal semilinear elliptic equation with singular nonlinearity