This paper examines a class of Kirchhoff nonlocal operators involving concave-convex nonlinearities and sign-changing weight functions. With the aid of the Nehari manifold, the existence of multiple nontrivial nonnegative solutions is obtained. 2010 AMS Mathematics subject classification. Primary 35A15, 35J60, 35S15.Thus,there exists a t b,max > 0 such that,then there is a unique 0 < t + < t b,max such that t + u ∈ N + λ and J λ (t + u) = inf t≥0 J λ (tu);
In this paper, we study the Schrödinger-Poisson system with singularity and critical growth terms. By means of variational methods with an appropriate truncation argument, the existence and multiplicity of positive solutions are obtained.
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