The Nehari manifold for fractional p-Laplacian system involving concave-convex nonlinearities and sign-changing weight functions

Maoding Zhen

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arXiv · 1711.06515

The Nehari manifold for fractional p-Laplacian system involving concave-convex nonlinearities and sign-changing weight functions

Maoding Zhen

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Abstract

In this paper, we consider a fractional p-Laplacian system with both concave-convex nonlinearities and sign-changing weight functions in bounded domains. With the help of the Nehari\ manifold, we prove that the system has at least two nontrivial solutions when the pair of the parameters $(λ,μ)$ belongs to a certain subset of $\mathbb{R}^{n}$

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Maoding Zhen. 2017-11-17. The Nehari manifold for fractional p-Laplacian system involving concave-convex nonlinearities and sign-changing weight functions. https://arxiv.org/abs/1711.06515

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