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In this article, we study an elliptic problem of mixed order with both localand nonlocal aspects involving singular nonlinearity in combination withcritical Hartree-type nonlinearity. Using variational methods together with thecritical point theory of nonsmooth analysis and the geometry of the energyfunctional, we show the existence and multiplicity of positive solutions withrespect to the parameter $\lambda$.

Mixed local and nonlocal semilinear elliptic equation with strongly singular and critical Choquard nonlinearity