Minimizing a class of polyconvex functionals involving Caputo derivatives

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 r...

Full description

Saved in:
Bibliographic Details
Published inBoundary value problems Vol. 2024; no. 1; pp. 118 - 22
Main Authors Toosnezhad, F., Shahrokhi-Dehkordi, M. S.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 27.09.2024
Hindawi Limited
SpringerOpen
Subjects
Analysis
Applied mathematics
Approximations and Expansions
Boundary conditions
Boundary value problems
Calculus
Difference and Functional Equations
Elliptic functions
Euler-Lagrange equation
Fractional calculus
Mathematics
Mathematics and Statistics
Natural boundary conditions
Nonlinear systems
Ordinary Differential Equations
Partial Differential Equations
Polyconvexity
Twist maps
26A33
Twist maps
65K10
Natural boundary conditions
Euler-Lagrange equation
74B20
49K05
Fractional calculus
Polyconvexity
93B40
34A08
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-024-01927-2