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Vy Khoi Le (2008)
Czechoslovak Mathematical Journal
The paper is about a sub-supersolution method for the prescribed mean curvature problem. We formulate the problem as a variational inequality and propose appropriate concepts of sub- and supersolutions for such inequality. Existence and enclosure results for solutions and extremal solutions between sub- and supersolutions are established.
Cianciaruso, Filomena, Marino, Giuseppe, Muglia, Luigi, Yao, Yonghong (2009)
Journal of Inequalities and Applications [electronic only]
Liang-Ju Chu, Ching-Yang Lin (2007)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
In this paper, we derive a general theorem concerning the quasi-variational inequality problem: find x̅ ∈ C and y̅ ∈ T(x̅) such that x̅ ∈ S(x̅) and ⟨y̅,z-x̅⟩ ≥ 0, ∀ z ∈ S(x̅), where C,D are two closed convex subsets of a normed linear space X with dual X*, and and are multifunctions. In fact, we extend the above to an existence result proposed by Ricceri [12] for the case where the multifunction T is required only to satisfy some general assumption without any continuity. Under a kind of Karmardian’s...
Jindřich Nečas, Zita Poracká (1966)
Commentationes Mathematicae Universitatis Carolinae
Ceng, Lu-Chuan, Lin, Yen-Cherng, Yao, Jen-Chih (2007)
Journal of Inequalities and Applications [electronic only]
Khaliq, Abdul, Rashid, Mohammad (2005)
Fixed Point Theory and Applications [electronic only]
Kalmoun, El Mostafa (2001)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Lan, Heng-You (2006)
Journal of Inequalities and Applications [electronic only]
Fulina, Silvia (2006)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Liu, Zeqing, Zheng, Pingping, Ume, Jeong Sheok, Kang, Shin Min (2009)
Journal of Inequalities and Applications [electronic only]
Liu, Zeqing, Sun, Juhe, Shim, Soo Hak, Kang, Shin Min (2005)
International Journal of Mathematics and Mathematical Sciences
Cho, Sun Young, Kang, Shin Min (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Yohei Kashima (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
In this paper we mathematically analyse an evolution variational inequality which formulates the double critical-state model for type-II superconductivity in 3D space and propose a finite element method to discretize the formulation. The double critical-state model originally proposed by Clem and Perez-Gonzalez is formulated as a model in 3D space which characterizes the nonlinear relation between the electric field, the electric current, the perpendicular component of the electric current...
Huang, Nan-Jing, Lan, Heng-You, Teo, Kok Lay (2007)
Journal of Inequalities and Applications [electronic only]
Enayet U, Tarafdar, Harold Bevan Thompson (1993)
Commentationes Mathematicae Universitatis Carolinae
We have given several proofs on the existence of the price equilibrium --- via variational inequality --- via degree theory and via Brouwer's theorems.
Zeqing Liu, Lokeneth Debnath, Shin Min Kang, Jeong Sheok Ume (2003)
Acta Mathematica et Informatica Universitatis Ostraviensis
Hadi, Khalid Ait, El Bansami, My Hafid (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Noor, Muhammad Aslam (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Arezki Touzaline (2018)
Commentationes Mathematicae Universitatis Carolinae
We consider a mathematical model which describes a contact between an elastic body and a foundation. The contact is frictionless with normal compliance. The goal of this paper is to study an optimal control problem which consists of leading the stress tensor as close as possible to a given target, by acting with a control on the boundary of the body. We state an optimal control problem which admits at least one solution. Next, we establish an optimality condition corresponding to a regularization...
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