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Nodal solution for Kirchhoff-type problems with concave-convex nonlinearities
Complex Variables and Elliptic Equations ( IF 0.6 ) Pub Date : 2020-06-09 , DOI: 10.1080/17476933.2020.1769081 Bin Chen 1 , Zeng-Qi Ou 1
中文翻译:
具有凹凸非线性的基尔霍夫型问题的节点解
更新日期:2020-06-09
Complex Variables and Elliptic Equations ( IF 0.6 ) Pub Date : 2020-06-09 , DOI: 10.1080/17476933.2020.1769081 Bin Chen 1 , Zeng-Qi Ou 1
Affiliation
In this paper, we study the existence of nodal solutions for the Kirchhoff-type problem with concave-convex nonlinearities where Ω is a bounded domain with smooth boundary in , a . By constraining the energy functional of the above problem on a subset of the nodal Nehari set , we show that there exists a constant such that for any , the above problem has a nodal solution with positive energy.
中文翻译:
具有凹凸非线性的基尔霍夫型问题的节点解
在本文中,我们研究了具有凹凸非线性的 Kirchhoff 型问题的节点解的存在性 其中 Ω 是具有平滑边界的有界域 在 , 一种 . 通过将上述问题的能量泛函约束在节点 Nehari 集的一个子集上,我们证明存在一个常数 使得对于任何 ,上述问题有节点解 带着正能量。