Abstract
In this work, we study the following Kirchhoff type problem where p2, is a regular bounded domain in RN, (N3). Firstly, for p>2, we prove under some appropriate conditions on the singularity and the nonlinearity the existence of nontrivial weak solution to this problem. For p=2, we show, under supplementary condition, the positivity of this solution. Moreover, in the case =0 we prove an uniqueness result. We use the variational method to prove our main results.