Anisotropic singular equation with $$(\overset{\rightarrow }{p}(\cdot ),\overset{\rightarrow }{q}(\cdot ))$$-Laplacian operator and Hardy-type potential

This paper studies an anisotropic singular problem driven by $$(\overset{\rightarrow }{p}(\cdot ),\overset{\rightarrow }{q}(\cdot ))$$ -Laplacian operator with the variable strong-singularity and the variable Hardy-type potential. As the main machinery, the Ekeland’s variational principle and constrained minimization are applied to obtain the existence and uniqueness of a positive solution. An application is provided to illustrate the main result.