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Existence and multiplicity results for p(⋅)&q(⋅) fractional Choquard problems with variable order
Complex Variables and Elliptic Equations ( IF 0.6 ) Pub Date : 2020-11-03 , DOI: 10.1080/17476933.2020.1835878 Jiabin Zuo 1, 2 , Alessio Fiscella 3 , Anouar Bahrouni 4
中文翻译:
p(⋅)&q(⋅) 变阶分数 Choquard 问题的存在性和多重性结果
更新日期:2020-11-03
Complex Variables and Elliptic Equations ( IF 0.6 ) Pub Date : 2020-11-03 , DOI: 10.1080/17476933.2020.1835878 Jiabin Zuo 1, 2 , Alessio Fiscella 3 , Anouar Bahrouni 4
Affiliation
This paper is concerned with the existence and multiplicity of solutions for the fractional variable order Choquard type problem where and are two fractional Laplace operators with variable order and with different variable exponents and . Here is a bounded smooth domain with at least , λ is a real parameter, β, μ and k are continuous variable parameters, while F is the primitive function of a suitable f. Under some appropriate conditions on β and k, through variational methods, we prove existence and multiplicity of solutions for the above problem.
中文翻译:
p(⋅)&q(⋅) 变阶分数 Choquard 问题的存在性和多重性结果
本文关注分数变阶 Choquard 类型问题的解的存在性和多重性在哪里和是两个具有可变顺序的小数拉普拉斯算子并使用不同的变量指数和. 这里是一个有界平滑域,至少有, λ是实参数,β , μ和k是连续变量参数,而F是合适f的原始函数。在β和k的一些适当条件下,通过变分方法,我们证明了上述问题解的存在性和多重性。