Results 41 to 50 of about 811 (99)

L∞‐error estimates for a class of semilinear elliptic variational inequalities and quasi‐variational inequalities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 309-319, 2001., 2001
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

open access: yesAdvances in Nonlinear Analysis
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]

open access: yes, 2003
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

open access: yes, 2015
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]

open access: yes, 2018
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 2, Page 73-93, 2000., 2000
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 12, Page 851-855, 2000., 2000
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

open access: yesInternational Journal of Stochastic Analysis, Volume 13, Issue 1, Page 73-75, 2000., 2000
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

open access: yes, 2011
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]

open access: yes, 2013
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  

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