Results 41 to 50 of about 370,441 (158)

Noncoercive Perturbed Densely Defined Operators and Application to Parabolic Problems

Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015
Let X be a real locally uniformly convex reflexive separable Banach space with locally uniformly convex dual space X∗. Let T:X⊇D(T)→2X∗ be maximal monotone and S : X⊇D(S) → X∗ quasibounded generalized pseudomonotone such that there exists a real reflexive separable Banach space W ⊂ D(S), dense and continuously embedded in X. Assume, further, that there
Teffera M. Asfaw, Naseer Shahzad
wiley   +1 more source

Superlinear elliptic hemivariational inequalities

Hacettepe Journal of Mathematics and Statistics, 2023
We study a nonlinear nonhomogeneous Dirichlet problem with a nonsmooth potential which is superlinear but without satisfying the Ambrosetti-Rabinowitz condition. Using the nonsmooth critical point theory and critical groups we prove two multiplicity theorems producing three and five solutions respectively. In the second multiplicity theorem, we provide
BAİ, Yunru, GASİNSKİ, Leszek, PAPAGEORGİOU, Nikolaos   +2 more
openaire   +1 more source

Existence and comparison results for variational-hemivariational inequalities [PDF]

, 2004
We consider a prototype of quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional.
S Carl, Carl S, S. Carl
core   +1 more source

Existence of Solutions for Generalized Mixed Weak Vector Variational–Hemivariational Inequalities

Mathematics
In this paper, we consider the classes of generalized Stampacchia mixed weak vector variational–hemivariational inequalities (in short, GSMWVVHIs) and generalized Minty mixed weak vector variational–hemivariational inequalities (in short, GMMWVVHIs ...
Balendu Bhooshan Upadhyay, Shivani Sain, Ioan Stancu-Minasian   +2 more
doaj   +1 more source

Evolution of the Minimax Inequality of Ky Fan

Journal of Operators, Volume 2013, Issue 1, 2013., 2013
There are quite a few generalizations or applications of the 1984 minimax inequality of Ky Fan compared with his original 1972 minimax inequality. In a certain sense, the relationship between the 1984 inequality and several hundreds of known generalizations of the original 1972 inequality has not been recognized for a long period.
Sehie Park, Ram U. Verma
wiley   +1 more source

Optimal Controls of Second‐Order Delayed Differential Systems Governed by Clarke Subdifferential and History‐Dependent Hemivariational Inequalities

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper investigates the existence of mild solutions and optimal controls for a class of second‐order delayed neutral nonautonomous evolution systems involving hemivariational inequalities, history‐dependent operators, and Clarke′s generalized subdifferential in Hilbert spaces. The novelty of the proposed framework lies in the simultaneous treatment
Hasanen A. Hammad, M. Basher, Manuel De la Sen, UDHAYAKUMAR Ramalingam   +3 more
wiley   +1 more source

On a class of variational-hemivariational inequalities [PDF]

, 2002
In this paper we consider a class of variational-hemivariational inequalities. We use the critical point theory for nonsmooth functionals due to Motreanu-Panagiotopoulos [9].
Halidias, Nikolaos
core  

Well-Posedness by Perturbations for Variational-Hemivariational Inequalities [PDF]

, 2020
We generalize the concept of well-posedness by perturbations for optimization problem to a class of variational-hemivariational inequalities. We establish some metric characterizations of the well-posedness by perturbations for the variational ...
Yi-Bin Xiao, Zhi-Bin Liu, Shu Lv, Xue-Song Li   +3 more
core  

Controllability and Modeling Perspectives of Tempered Ψ‐Caputo Fractional Systems

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this article, we investigated the controllability of fractional dynamical systems (FDS) involving the tempered Ψ‐Caputo fractional derivative (FD). First, we derived the solution representation for this generalized FD with the help of Laplace transform and Mittag–Leffler (M‐L) function.
Inzamamul Haque, Mohammad Ayman-Mursaleen, Hojjatollah Amiri Kayvanloo, Smritijit Sen   +3 more
wiley   +1 more source

Existence Results for Constrained Quasivariational Inequalities

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
We deal with a constrained quasivariational inequality under a general form. We study existence of solutions in two situations depending on whether the set of constraints is bounded or possibly unbounded.
V. V. Motreanu, Rodrigo Lopez Pouso
wiley   +1 more source