Abstract
This paper deals with the following singular problem:
{(-Delta)(p)(s)u + mu(-Delta)(q)(s) u=a/(x)_ u(gamma)+lambda f(x, u) in Omega, u=0, in R-N\ Omega,
where Omega subset of R-N(N >= 3) are a bounded smooth domain,f is an element of C(Omega x R,R)is positively homogeneousof degree r-1,a is an element of L-infinity(Omega), a(x) > 0 for almost every x is an element of Omega, lambda, mu > 0,s is an element of (0,1),N > ps, and 0 < gamma < 1 < q < p < r < p(s)(*). Under appropriate conditions on the function f, we establish theexistence of multiple solutions by using the Nehari manifold method.