Academic Journal

Minimizing a class of polyconvex functionals involving Caputo derivatives

التفاصيل البيبلوغرافية
العنوان: Minimizing a class of polyconvex functionals involving Caputo derivatives
المؤلفون: F. Toosnezhad, M. S. Shahrokhi-Dehkordi
المصدر: Boundary Value Problems, Vol 2024, Iss 1, Pp 1-22 (2024)
بيانات النشر: SpringerOpen, 2024.
سنة النشر: 2024
المجموعة: LCC:Analysis
مصطلحات موضوعية: Twist maps, Fractional calculus, Euler-Lagrange equation, Polyconvexity, Natural boundary conditions, Analysis, QA299.6-433
الوصف: Abstract In this article, we establish the existence of multiple, infinitely many, nontrivial solutions to a class of nonlinear fractional elliptic systems in fractional variational form subject to pointwise gradient constraint and pure Dirichlet-type boundary conditions. We use a topological class of maps referred to as generalized twists and examine them in connection with the later system of fractional Euler-Lagrange equations and prove the existence of a countably infinite of topologically distinct twisting solutions to this system.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1687-2770
Relation: https://doaj.org/toc/1687-2770
DOI: 10.1186/s13661-024-01927-2
URL الوصول: https://doaj.org/article/f8603bcbb7344ae191ee24800b74d4dd
رقم الانضمام: edsdoj.f8603bcbb7344ae191ee24800b74d4dd
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:16872770
DOI:10.1186/s13661-024-01927-2