Results 41 to 50 of about 811 (99)
This paper deals with the finite element approximation of a class of variational inequalities (VI) and quasi‐variational inequalities (QVI) with the right‐hand side depending upon the solution. We prove that the approximation is optimally accurate in L∞ combining the Banach fixed point theorem with the standard uniform error estimates in linear VIs and
M. Boulbrachene +2 more
wiley +1 more source
Shape of extremal functions for weighted Sobolev-type inequalities
We study the shape of solutions to certain variational problems in Sobolev spaces with weights that are powers of ∣x∣| x| . In particular, we detect situations when the extremal functions lack symmetry properties such as radial symmetry and antisymmetry.
Brock Friedemann +3 more
doaj +1 more source
Variational Principles for Monotone and Maximal Bifunctions [PDF]
2000 Mathematics Subject Classification: 49J40, 49J35, 58E30, 47H05We establish variational principles for monotone and maximal bifunctions of Brøndsted-Rockafellar type by using our characterization of bifunction’s maximality in reflexive Banach spaces.
Chbani, Zaki, Riahi, Hassan
core
Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays
In this paper, we consider functionals based on moments and non-linear entropies which have a linear growth in time in case of source-type so-lutions to the fast diffusion or porous medium equations, that are also known as Barenblatt solutions.
Dolbeault, Jean, Toscani, Giuseppe
core +2 more sources
One-dimensional granular system with memory effects [PDF]
We consider a hybrid compressible/incompressible system with memory effects introduced by Lefebvre Lepot and Maury (2011) for the description of one-dimensional granular flows.
Perrin, Charlotte +1 more
core +2 more sources
Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi‐equilibrium theorems. These quasi‐equilibrium theorems are applied to give simple and unified proofs of the known variational ...
Sehie Park
wiley +1 more source
Certain remarks on a class of evolution quasi‐variational inequalities
We prove two existence theorems, one for evolution quasi‐variational inequalities and the other for a time‐dependent quasi‐variational inequality modeling the quasi‐static problem of elastoplasticity with combined kinetic‐isotropic hardening.
A. H. Siddiqi, Pammy Manchanda
wiley +1 more source
A class of nonlinear variational inequalities involving pseudomonotone operators
We present the solvability of a class of nonlinear variational inequalities involving pseudomonotone operators in a locally convex Hausdorff topological vector spaces setting. The obtained result generalizes similar variational inequality problems on monotone operators.
Ram U. Verma
wiley +1 more source
Total destruction of invariant tori for the generalized Frenkel-Kontorova model
We consider generalized Frenkel-Kontorova models on higher dimensional lattices. We show that the invariant tori which are parameterized by continuous hull functions can be destroyed by small perturbations in the $C^r$ topology with ...
Herman M. -R. +6 more
core +1 more source
Refined Solutions of Time Inhomogeneous Optimal Stopping Games via Dirichlet Form [PDF]
The properties of value functions of time inhomogeneous optimal stopping problem and zero-sum game (Dynkin game) are studied through time dependent Dirichlet form.
Yang, Yipeng
core

