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Multiple solutions for a Kirchhoff-type problem involving nonlocal fractional $p$-Laplacian and concave-convex nonlinearities

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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… Click to show full abstract

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.

Keywords: convex nonlinearities; type problem; multiple solutions; solutions kirchhoff; concave convex; kirchhoff type

Journal Title: Rocky Mountain Journal of Mathematics
Year Published: 2017

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