On a two-step algorithm for hierarchical fixed point problems and variational inequalities.
On a type of Signorini problem without friction in linear thermoelasticity
In the paper the Signorini problem without friction in the linear thermoelasticity for the steady-state case is investigated. The problem discussed is the model geodynamical problem, physical analysis of which is based on the plate tectonic hypothesis and the theory of thermoelasticity. The existence and unicity of the solution of the Signorini problem without friction for the steady-state case in the linear thermoelasticity as well as its finite element approximation is proved. It is known that...
On a variant of Korn’s inequality arising in statistical mechanics
We state and prove a Korn-like inequality for a vector field in a bounded open set of , satisfying a tangency boundary condition. This inequality, which is crucial in our study of the trend towards equilibrium for dilute gases, holds true if and only if the domain is not axisymmetric. We give quantitative, explicit estimates on how the departure from axisymmetry affects the constants; a Monge–Kantorovich minimization problem naturally arises in this process. Variants in the axisymmetric case are...
On a variant of Korn's inequality arising in statistical mechanics
We state and prove a Korn-like inequality for a vector field in a bounded open set of , satisfying a tangency boundary condition. This inequality, which is crucial in our study of the trend towards equilibrium for dilute gases, holds true if and only if the domain is not axisymmetric. We give quantitative, explicit estimates on how the departure from axisymmetry affects the constants; a Monge–Kantorovich minimization problem naturally arises in this process. Variants in the axisymmetric case...
On a variational inequality containing a memory term with an application in electro-chemical machining.
On an iterative method for variational inequalities.
On certain classes of variational inequalities and related iterative algorithms.
On coupled thermoelastic vibration of geometrically nonlinear thin plates satisfying generalized mechanical and thermal conditions on the boundary and on the surface
The vibration problem in two variables is derived from the spatial situation (a plate as a three-dimensional body) on the basis of geometrically nonlinear plate theory (using Kármán's hypothesis) and coupled linear thermoelasticity. That leads to coupled strongly nonlinear two-dimensional equilibrium and heat conducting equations (under classical mechanical and thermal boundary conditions). For the generalized problem with subgradient conditions on the boundary and in the domain (including also...
On equilibrium problems.
On evolution inequalities of a modified Navier-Stokes type. I
The paper present an existence theorem for a strong solution to an abstract evolution inequality where the properties of the operators involved are motivated by a type of modified Navier-Stokes equations under certain unilateral boundary conditions. The method of proof rests upon a Galerkin type argument combined with the regularization of the functional.
On Finite Element Approximation in the L...-Norm of Variational Inequalities.
On generalized monotone multifunctions with applications to optimality conditions in generalized convex programming.
On generalized strong vector variational-like inequalities in Banach spaces.
On higher eigenvalues of variational inequalities
On Ky Fan's minimax inequalities, mixed equilibrium problems and hemivariational inequalities.
On minimizing noncoercive functionals on weakly vlosed sets
We consider noncoercive functionals on a reflexive Banach space and establish minimization theorems for such functionals on smooth constraint manifolds. The functionals considered belong to a class which includes semi-coercive, compact-coercive and P-coercive functionals. Some applications to nonlinear partial differential equations are given.
On Multi-Grid Methods for Variational Inequalities.
On Neumann hemivariational inequalities.
On nonlinear variational inequalities.
On self-adaptive method for general mixed variational inequalities.