Existence of solutions for singular critical growth semilinear elliptic equations

A semilinear elliptic problem containing both a singularity and a critical growth term is considered in a bounded domain of δrⁿ: existence results are obtained by variational methods. The solvability of the problem depends on the space dimension n and on the coefficient of the singularity; the results obtained describe the behavior of critical dimensions and nonresonant dimensions when the Brezis-Nirenberg problem is modified with a singular term.