Results 51 to 60 of about 149 (133)

Minimization of nonsmooth integral functionals

International Journal of Mathematics and Mathematical Sciences, 1992
In this paper we examine optimization problems involving multidimensional nonsmooth integral functionals defined on Sobolev spaces. We obtain necessary and sufficient conditions for optimality in convex, finite dimensional problems using techniques from ...
Nikolaos S. Papageorgiou, Apostolos S. Papageorgiou   +1 more
doaj   +1 more source

Weak Solutions and Optimal Control of Hemivariational Evolutionary Navier-Stokes Equations under Rauch Condition

Journal of Function Spaces, 2020
In this paper, we consider the evolutionary Navier-Stokes equations subject to the nonslip boundary condition together with a Clarke subdifferential relation between the dynamic pressure and the normal component of the velocity. Under the Rauch condition,
Hicham Mahdioui, Sultana Ben Aadi, Khalid Akhlil   +2 more
doaj   +1 more source

Separable determination of integrability and minimality of the Clarke subdifferential mapping [PDF]

Proceedings of the American Mathematical Society, 1999
In this paper we show that the study of integrability and D D -representability of Lipschitz functions defined on arbitrary
Borwein, Jonathan M., Moors, Warren B.
openaire   +1 more source

Generalized Convexity via Clarke Subdifferential of Interval Mappings and Its Optimization Applications

Axioms
Clarke subdifferential and directional derivative theories are well developed for real functions. However, the nonsmooth analysis framework for interval mappings is still incomplete.
Shexiang Hai, Yanmei Zhang
doaj   +1 more source

Optimality Conditions and Scalarization of Approximate Quasi Weak Efficient Solutions for Vector Equilibrium Problem

Complexity, 2020
This paper is devoted to the investigation of optimality conditions for approximate quasi weak efficient solutions for a class of vector equilibrium problem (VEP).
Yameng Zhang, Guolin Yu, Wenyan Han
doaj   +1 more source

Hilfer fractional evolution hemivariational inequalities with nonlocal initial conditions and optimal controls

Nonlinear Analysis, 2019
In this paper, we mainly consider a control system governed by a Hilfer fractional evolution hemivariational inequality with a nonlocal initial condition.
Yatian Pei, Yong-Kui Chang
doaj   +1 more source

On the Clarke subdifferential of the distance function of a closed set

Journal of Mathematical Analysis and Applications, 1992
The authors derive formulas for computing the Clarke subdifferential of the distance function \(x\in X\mapsto d_ C(x)=\text{Inf}\{\| x- y\|: y\in C\}\). In connection with this question, they examine the role of the dimensionality of \(X\), the convexity of \(C\), and the (subdifferential) regularity of \(d_ C\).
Burke, James V, Ferris, Michael C, Qian, Maijian   +2 more
openaire   +2 more sources

Operational Properties of SCN Function, Optimization Condition, and Exactness of Penalty Function for SCN Optimization

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper defines a strong convertible nonconvex (SCN) function for solving the unconstrained optimization problems with the nonconvex or nonsmooth (nondifferentiable) function. First, the concept of SCN function is defined, where the SCN functions are nonconvex or nonsmooth.
Min Jiang, Chuangyin Dang, Zhiqing Meng, Rui Shen, Zai Yun Peng   +4 more
wiley   +1 more source

Conformal optimization of eigenvalues on surfaces with symmetries

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
wiley   +1 more source

Hilfer-Katugampola fractional stochastic differential inclusions with Clarke sub-differential

Heliyon
The objective of this paper is to investigate the existence of mild solutions and optimal controls for a class of stochastic Hilfer-Katugampola fractional differential inclusions (SHKFDIs) with non-instantaneous impulsive (NIIs) that is strengthened by ...
Noorah Mshary, Hamdy M. Ahmed, Ahmed S. Ghanem, A.M. Sayed Ahmed   +3 more
doaj   +1 more source