Fetching the paper…
Reading the bibliography…
In this note, we prove that the minimal and maximal solution maps associated to elliptic quasi-variational inequalities of obstacle type are directionally differentiable with respect to the forcing term and for directions that are signed.
Contrôle impulsionnel et inéquations quasi-variationnelles stationnaires
A. Bensoussan, M. Goursat, and J.-L. Lions · 1973
Earlier work this paper cites.
Sur le côntrole optimal des systemes distribuées
J.-L. Lions · 1973
Earlier work this paper cites.
Inéquations quasi variationnelles abstraites
L. Tartar · 1974
Earlier work this paper cites.
Contrôle dans les inéquations variationelles elliptiques
F. Mignot · 1976
Earlier work this paper cites.
Implicit variational problems and quasi variational inequalities
U. Mosco · 1976
Earlier work this paper cites.
How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities
A. Haraux · 1977
Earlier work this paper cites.
Lattice theory
G. Birkhoff · 1979
Earlier work this paper cites.
Variational and Quasivariational Inequalities
C. Baiocchi and A. Capelo · 1984
Earlier work this paper cites.
Obstacle problems in mathematical physics
J. F. Rodrigues · 1987
Earlier work this paper cites.
Generalized nash games and quasi-variational inequalities
P. T. Harker · 1991
Earlier work this paper cites.
Nonlinear potential theory of degenerate elliptic equations
J. Heinonen, T. Kilpeläinen, and O. Martio · 1993
Earlier work this paper cites.
Sandpiles and river networks: extended systems with non-local interactions
L. Prigozhin · 1994
Earlier work this paper cites.
On the Bean critical-state model in superconductivity
L. Prigozhin · 1996
Earlier work this paper cites.
Variational model of sandpile growth
L. Prigozhin · 1996
Cited alongside, same era.
Nonsmooth Approach to Optimization Problems with Equilibrium Constraints
J. Outrata, M. Kocvara, and J. Zowe · 1998
Cited alongside, same era.
Contact problems of hyperelastic membranes: Existence theory
H. Andrä, M. K. Warby, and J. R. Whiteman · 2000
Cited alongside, same era.
Perturbation analysis of optimization problems
J. F. Bonnans and A. Shapiro · 2000
Cited alongside, same era.
An elliptic quasi-variational inequality with gradient constraints and some of its applications
M. Kunze and J. F. Rodrigues · 2000
Cited alongside, same era.
Three-dimensional simulation of thermoforming process and its comparison with experiments
G. J. Nam, K. H. Ahn, and J. W. Lee · 2000
Cited alongside, same era.
Analysis of a quasi-variational contact problem arising in thermoelasticity
A. Alphonse, C. N. Rautenberg, and J. F. Rodrigues · 2008
Later among the works it cites.
Finite element simulation of thermoforming processes for polymer sheets
M. K. Warby, J. R. Whiteman, W.-G. Jiang, P. Warwick, and W. T · 2009
Later among the works it cites.
A quasi-variational inequality problem in superconductivity
J. W. Barrett and L. Prigozhin · 2010
Later among the works it cites.
Dirichlet forms and symmetric Markov processes
M. Fukushima, Y. Oshima, and M. Takeda · 2011
Later among the works it cites.
Symmetric Markov processes, time change, and boundary theory
Z.-Q. Chen and M. Fukushima · 2012
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
A parabolic quasi-variational inequality arising in a superconductivity model
J. F. Rodrigues and L. Santos · 2000
Cited alongside, same era.
Finite element modelling of high air pressure forming processes for polymer sheets
W.-G. Jiang, M. K. Warby, J. R. Whiteman, S. Abbot, W. Shorter, P. Warwick, T. Wright, A. Munro, and B. Munro · 2001
Cited alongside, same era.
Effects of rheological properties and processing parameters on abs thermoforming
J. K. Lee, T. L. Virkler, and C. E. Scott · 2001
Cited alongside, same era.
Quasi-variational inequalities, generalized nash equilibria, and multi-leader-follower games
J.-S. Pang and M. Fukushima · 2005
Cited alongside, same era.
Mathematical methods of game and economic theory
J.-P. Aubin · 2007
Cited alongside, same era.
Generalized nash equilibrium problems
F. Facchinei and C. Kanzow · 2007
Cited alongside, same era.
A quasi-variational inequality problem arising in the modeling of growing sandpiles
J. W. Barrett and L. Prigozhin · 2013
Later among the works it cites.
Lakes and rivers in the landscape: a quasi-variational inequality approach
J. W. Barrett and L. Prigozhin · 2014
Later among the works it cites.
A bundle-free implicit programming approach for a class of elliptic MPECs in function space
M. Hintermüller and T. Surowiec · 2016
Later among the works it cites.
Directional differentiability for elliptic quasi-variational inequalities of obstacle type
A. Alphonse, M. Hintermüller, and C. N. Rautenberg · 2019
Later among the works it cites.
Recent trends and views on elliptic quasi-variational inequalities
A. Alphonse, M. Hintermüller, and C. N. Rautenberg · 2019
Later among the works it cites.
A guided tour of polyhedric sets: basic properties, new results on intersections, and applications
G. Wachsmuth · 2019
Later among the works it cites.
Stability of the solution set of quasi-variational inequalities and optimal control
A. Alphonse, M. Hintermüller, and C. N. Rautenberg · 2020
Closest in time.