Random generalized set-valued strongly nonlinear implicit quasi-variational inequalities.
Random homogenization of an obstacle problem
Random variational inequalities in the absence of sample path continuity.
Rate independent Kurzweil processes
The Kurzweil integral technique is applied to a class of rate independent processes with convex energy and discontinuous inputs. We prove existence, uniqueness, and continuous data dependence of solutions in spaces. It is shown that in the context of elastoplasticity, the Kurzweil solutions coincide with natural limits of viscous regularizations when the viscosity coefficient tends to zero. The discontinuities produce an additional positive dissipation term, which is not homogeneous of degree...
Reflected forward-backward SDEs and obstacle problems with boundary conditions.
Regularity of minimal boundaries with obstacles
Regularity of parabolic hemivariational inequalities with boundary conditions.
Regularity of solutions for arbitrary order variational inequalities with general convex sets
Regularity results for a class of obstacle problems
We prove some optimal regularity results for minimizers of the integral functional belonging to the class , where is a fixed function, under standard growth conditions of -type, i.e.
Regularization and iterative methods for monotone variational inequalities.
Regularization inertial proximal point algorithm for monotone hemicontinuous mapping and inverse strongly monotone mappings in Hilbert spaces.
Regularization of a unilateral obstacle problem on the boundary.
Relatively B-pseudomonotone variational inequalities over product of sets.
Reliable solution of parabolic obstacle problems with respect to uncertain data
A class of parabolic initial-boundary value problems is considered, where admissible coefficients are given in certain intervals. We are looking for maximal values of the solution with respect to the set of admissible coefficients. We give the abstract general scheme, proposing how to solve such problems with uncertain data. We formulate a general maximization problem and prove its solvability, provided all fundamental assumptions are fulfilled. We apply the theory to certain Fourier obstacle type...
Remark to dynamic contact problems for bodies with a singular memory
The existence of a solution to the dynamic contact of a body having a singular memory with a rigid undeformable support is proved under some weaker assumption than that in [3].
Remarks on some fourth order variational inequalities
Remarks on the Regularity of Weak Solutions to Some Variational Inequalities.
Resolvent iterative methods for solving system of extended general variational inclusions.
Revisiting the construction of gap functions for variational inequalities and equilibrium problems via conjugate duality
Based on conjugate duality we construct several gap functions for general variational inequalities and equilibrium problems, in the formulation of which a so-called perturbation function is used. These functions are written with the help of the Fenchel-Moreau conjugate of the functions involved. In case we are working in the convex setting and a regularity condition is fulfilled, these functions become gap functions. The techniques used are the ones considered in [Altangerel L., Boţ R.I., Wanka...
Robinson's implicit function theorem