Existence of nontrivial solutions for singular quasilinear elliptic equations on R-N
In this paper, we study the existence of weak solutions for the singular quasilinear elliptic problem [GRAPHICS] , (0.1) where 1 < p < N, -infinity < a < (N - p)/p, 1 < s, r < p* = pN/(N -p). Using an approach which strongly relies on the Nehari manifold and the fibering method in combination with related variational methods, we prove that problem (0.1) admits multiple solutions under appropriate assumptions on the weight functions V (x), h(x), and H(x). (C) 2013 Elsevier Ltd. All rights reserved.
singular quasilinear elliptic equation nehari manifold variational methods fibering maps