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The Nehari manifold for fractional p-Laplacian system involving concave–convex nonlinearities and sign-changing weight functions
Complex Variables and Elliptic Equations ( IF 0.9 ) Pub Date : 2020-06-26 , DOI: 10.1080/17476933.2020.1779237 Maoding Zhen 1 , Binlin Zhang 2
中文翻译:
涉及凹凸非线性和符号变化权重函数的分数 p-Laplacian 系统的 Nehari 流形
更新日期:2020-06-26
Complex Variables and Elliptic Equations ( IF 0.9 ) Pub Date : 2020-06-26 , DOI: 10.1080/17476933.2020.1779237 Maoding Zhen 1 , Binlin Zhang 2
Affiliation
ABSTRACT
In this paper, we consider a fractional p-Laplacian system with both concave–convex nonlinearities and sign-changing weight functions in bounded domains: By using the Nehari manifold, together with Ekeland's variational principle, we prove that the above system has at least two nontrivial solutions when the pair of the parameters belongs to a certain subset of .
中文翻译:
涉及凹凸非线性和符号变化权重函数的分数 p-Laplacian 系统的 Nehari 流形
摘要
在本文中,我们考虑在有界域中具有凹凸非线性和符号变化权重函数的分数p- Laplacian 系统: 通过使用 Nehari 流形,结合 Ekeland 变分原理,我们证明上述系统至少有两个非平凡解,当参数对 属于某个子集 .