On a singular elliptic problem with variable exponent

摘要

In the present note we study a semilinear elliptic Dirichlet problem involving a singular term with variable exponent of the following type { -Delta u = f(x) / u(gamma)(x) , in Omega u > 0, in Omega u = 0, on partial derivative Omega Existence and uniqueness results are proved when f >= 0. (P)