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Multiplicity solutions to non-local problems with general potentials and combined nonlinearities
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2021-08-20 , DOI: 10.1016/j.aml.2021.107583
Ye Xue 1
Affiliation  

In this paper, we study the existence and multiplicity of nontrivial solutions for equations driven by a nonlocal integrodifferential operator LK with homogeneous Dirichlet boundary conditions. Taking general potentials and combined nonlinearities into consideration, at least two weak solutions are obtained by abstract critical point results.



中文翻译:

具有一般势和组合非线性的非局部问题的多重解

在本文中,我们研究了由非局部积分微分算子驱动的方程的非平凡解的存在性和多重性 具有齐次 Dirichlet 边界条件。考虑到一般势和组合非线性,通过抽象临界点结果至少得到两个弱解。

更新日期:2021-09-01
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