Multiple nontrivial solutions to a class of fractional Schrödinger-Maxwell systems in Bessel potential space

	Multiple nontrivial solutions to a class of fractional Schrödinger-Maxwell systems in Bessel potential space
International Journal of Nonlinear Analysis and Applications
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از 21 مهر 1404 اصل مقاله (427.51 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.35589.5293
نویسندگان
Hamza Boutebba^* ؛ Hakim Lakhal؛ Kamel Slimani
Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS), Department of Mathematics, University of 20 August 1955, P.O. Box 26-21000, Skikda, Algeria
چکیده
This work deals with a class of fractional Schrödinger-Maxwell systems related to the distributional Riesz fractional gradient. First, we introduce the latter operator and investigate its appropriate functional framework. Then, we pose the given problem in that space. Applying variational methods combined with the Symmetric Mountain Pass critical point Theorem, we obtain the existence of infinitely many nontrivial solutions in Bessel potential space.
کلیدواژه‌ها
Fractional Schrödinger-Maxwell systems؛ Bessel potential spaces؛ distributional Riesz fractional gradient؛ multiplicity of solutions
مراجع

آمار تعداد مشاهده مقاله: 191 تعداد دریافت فایل اصل مقاله: 409

پیوندهای مفید

آمار