A potential theoretic minimax problem on the torus [PDF]
We investigate an extension of an equilibrium-type result, conjectured by Ambrus, Ball and Erd\'elyi, and proved recently by Hardin, Kendall and Saff.
Farkas, Bálint +2 more
core +6 more sources
A min‐max theorem and its applications to nonconservative systems
A nonvariational generation of a min‐max principle by A. Lazer is made. And it is used to prove a new existence results for a nonconservative systems of ordinary differential equations with resonance.
Li Weiguo, Li Hongjie
wiley +1 more source
KKM theorem with applications to lower and upper bounds equilibrium problem in G‐convex spaces
We give some new versions of KKM theorem for generalized convex spaces. As an application, we answer a question posed by Isac et al. (1999) for the lower and upper bounds equilibrium problem.
M. Fakhar, J. Zafarani
wiley +1 more source
Convergence estimates and approximation solvability of nonlinear implicit variational inequalities
Approximation‐solvability of a class of nonlinear implicit variational inequalities involving a class of partially relaxed monotone mappings ‐ a computation‐oriented class in a Hilbert space setting‐ is presented with some applications.
Ram U. Verma
wiley +1 more source
Syntheses of differential games and pseudo‐Riccati equations
For differential games of fixed duration of linear dynamical systems with nonquadratic payoff functionals, it is proved that the value and the optimal strategies as saddle point exist whenever the associated pseudo‐Riccati equation has a regular solution P(t, x). Then the closed‐loop optimal strategies are given by u(t) = −R−1B∗P(t, x(t)), v(t) = −S−1C∗
Yuncheng You
wiley +1 more source
On the fractional p-Laplacian equations with weight and general datum
The aim of this paper is to study the following problem:
Abdellaoui Boumediene +2 more
doaj +1 more source
On question about extension of maximin problem with phase constraints [PDF]
We study the asymptotic behavior of maximin values of a payoff function, when relaxed constraints are tightened. The payoff function depends on the trajectories of controlled systems of the first and second player.
Baklanov, A.
core +1 more source
Positive solutions of critical quasilinear elliptic problems in general domains
We consider a certain class of quasilinear elliptic equations with a term in the critical growth range. We prove the existence of positive solutions in bounded and unbounded domains. The proofs involve several generalizations of standard variational arguments.
Filippo Gazzola
wiley +1 more source
Purely finitely additive measures as generalized elements in a maximin problem [PDF]
We study the asymptotic behavior of maximin values of a payoff function, when admissible controls tend to infinity. The payoff function is superposition of a continuos function and a function that is uniform limit of step functions.
Baklanov, A.
core +1 more source
Rotationally invariant periodic solutions of semilinear wave equations
Under suitable conditions we are able to solve the semilinear wave equation in any dimension. We are also able to compute the essential spectrum of the linear wave operator for the rotationally invariant periodic case.
Martin Schechter
wiley +1 more source

