Results 11 to 20 of about 182 (54)

A minimax problem for sums of translates on the torus

open access: yesTransactions of the London Mathematical Society, Volume 5, Issue 1, Page 1-46, December 2018., 2018
Abstract We extend some equilibrium‐type results first conjectured by Ambrus, Ball and Erdélyi, and then proved recenly by Hardin, Kendall and Saff. We work on the torus T≃[0,2π), but the motivation comes from an analogous setup on the unit interval, investigated earlier by Fenton.
Bálint Farkas   +2 more
wiley   +1 more source

A min‐max theorem and its applications to nonconservative systems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 17, Page 1101-1110, 2003., 2003
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

Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity [PDF]

open access: yes, 2014
This paper deals with the existence and the asymptotic behavior of non-negative solutions for a class of stationary Kirchhoff problems driven by a fractional integro-differential operator $\mathcal L_K$ and involving a critical nonlinearity.
Autuori, Giuseppina   +2 more
core   +1 more source

KKM theorem with applications to lower and upper bounds equilibrium problem in G‐convex spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 51, Page 3267-3276, 2003., 2003
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

On question about extension of maximin problem with phase constraints [PDF]

open access: yes, 2013
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

Convergence estimates and approximation solvability of nonlinear implicit variational inequalities

open access: yesInternational Journal of Stochastic Analysis, Volume 15, Issue 1, Page 39-44, 2002., 2002
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

On the fractional p-Laplacian equations with weight and general datum

open access: yesAdvances in Nonlinear Analysis, 2016
The aim of this paper is to study the following problem:
Abdellaoui Boumediene   +2 more
doaj   +1 more source

Syntheses of differential games and pseudo‐Riccati equations

open access: yesAbstract and Applied Analysis, Volume 7, Issue 2, Page 61-83, 2002., 2002
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

Positive solutions of critical quasilinear elliptic problems in general domains

open access: yesAbstract and Applied Analysis, Volume 3, Issue 1-2, Page 65-84, 1998., 1998
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

Existence of a positive solution for nonlinear Schrödinger equations with general nonlinearity

open access: yesAdvances in Nonlinear Analysis, 2014
We study the following nonlinear Schrödinger equations: -Δu+V(x)u=f(u)inℝN.$ - \Delta u + V(x) u = f(u) \quad \text{in } {\mathbb {R}^N}. $ The purpose of this paper is to establish the existence of a positive solution under general conditions which are ...
Sato Yohei, Shibata Masataka
doaj   +1 more source

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