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 |