涉及新分数算子的非线性分数阶Schrödinger-Poisson系统的非平凡解

Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2023-01-01 DOI:10.31197/atnaa.1141136

Boutebba Hamza, Hakim Lakhal, Slimani Kamel, Belhadi Tahar

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摘要

本文研究了含有分布Riesz分数阶导数的非线性分数阶Schrödinger-Poisson系统在Bessel势空间中非平凡解的存在性。利用山口定理，结合摄动法，证明了解的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The nontrivial solutions for nonlinear fractional Schrödinger-Poisson system involving new fractional operator

In this paper, we investigate the existence of nontrivial solutions in the Bessel Potential space for nonlinearfractional Schrödinger-Poisson system involving distributional Riesz fractional derivative. By using themountain pass theorem in combination with the perturbation method, we prove the existence of solutions.

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Advances in the Theory of Nonlinear Analysis and its Application

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