convergence of minimizers of a Ginzburg-Landau functional.
Coincidence theorems, generalized variational inequality theorems, and minimax inequality theorems for the -mapping on -convex spaces.
Constant selections and minimax inequalities
In this paper, we establish two constant selection theorems for a map whose dual is upper or lower semicontinuous. As applications, matching theorems, analytic alternatives, and minimax inequalities are obtained.
Contrôle de min-max et feedback linéaire pour des systèmes dynamiques approchés en norme
Convergences et relations compactantes. Application aux équilibres de Stackelberg
Critical Point Theorems for Indefinite Functionals.
Critical points via -convergence: general theory and applications
Deterministic minimax impulse control in finite horizon: the viscosity solution approach
We study here the impulse control minimax problem. We allow the cost functionals and dynamics to be unbounded and hence the value functions can possibly be unbounded. We prove that the value function of the problem is continuous. Moreover, the value function is characterized as the unique viscosity solution of an Isaacs quasi-variational inequality. This problem is in relation with an application in mathematical finance.
Existence and multiplicity of solutions for a class of damped vibration problems with impulsive effects
Some sufficient conditions on the existence and multiplicity of solutions for the damped vibration problems with impulsive effects ⎧ u”(t) + g(t)u’(t) + f(t,u(t)) = 0, a.e. t ∈ [0,T ⎨ u(0) = u(T) = 0 ⎩ , j = 1,...,p, are established, where , g ∈ L¹(0,T;ℝ), f: [0,T] × ℝ → ℝ is continuous, and , j = 1,...,p, are continuous. The solutions are sought by means of the Lax-Milgram theorem and some critical point theorems. Finally, two examples are presented to illustrate the effectiveness of our results....
Existence of solutions to a superlinear -Laplacian equation.
Existence of solutions to weak nonlinear bilevel problems via MinSup and d.c. problems
In this paper, which is an extension of [4], we first show the existence of solutions to a class of Min Sup problems with linked constraints, which satisfy a certain property. Then, we apply our result to a class of weak nonlinear bilevel problems. Furthermore, for such a class of bilevel problems, we give a relationship with appropriate d.c. problems concerning the existence of solutions.
Extensions of cyclically monotone mappings
Fast and heteroclinic solutions for a second order ODE.
Fixed points and minimax inequalities.
Formules min-max pour les vitesses d'ondes progressives multidimensionnelles
Further results related to a minimax problem of Ricceri.
Generalizations of the Fan-Browder fixed point theorem and minimax inequalities
In this paper fixed point theorems for maps with nonempty convex values and having the local intersection property are given. As applications several minimax inequalities are obtained.
Generalizations of the Nash equilibrium theorem in the KKM theory.
Generalized bi-quasi-variational inequalities for quasi-pseudo-monotone type II operators on compact sets
In this paper, the authors prove some existence results of solutions for a new class of generalized bi-quasi-variational inequalities (GBQVI) for quasi-pseudo-monotone type II and strongly quasi-pseudo-monotone type II operators defined on compact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GBQVI for quasi-pseudo-monotone type II and strongly quasi-pseudo-monotone type II operators, we shall use Chowdhury and Tan’s generalized version [3] of Ky Fan’s...
Generalized bi-quasi-variational inequalities for quasi-semi-monotone and bi-quasi-semi-monotone operators with applications in non-compact settings and minimization problems.