A fractional Kirchhoff problem involving a singular term and a critical nonlinearity [PDF]
Advances in Nonlinear Analysis, 2017 In this paper, we consider the following critical nonlocal problem:
Fiscella Alessio
doaj +2 more sources
Bounded perturbation resilience of extragradient-type methods and their applications. [PDF]
J Inequal Appl, 2017 In this paper we study the bounded perturbation resilience of the extragradient and the subgradient extragradient methods for solving variational inequality (VI) problem in real Hilbert spaces. This is an important property of algorithms which guarantees
Dong QL, Gibali A, Jiang D, Tang Y.
europepmc +5 more sources
A Ky Fan minimax inequality for quasiequilibria on finite dimensional spaces [PDF]
, 2017 Several results concerning existence of solutions of a quasiequilibrium problem defined on a finite dimensional space are established. The proof of the first result is based on a Michael selection theorem for lower semicontinuous set-valued maps which ...
Castellani, Marco +2 more
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Purely finitely additive measures as generalized elements in a maximin problem [PDF]
, 2013 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
Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity [PDF]
, 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
On the fractional p-Laplacian equations with weight and general datum
Advances in Nonlinear Analysis, 2016 The aim of this paper is to study the following problem:
Abdellaoui Boumediene +2 more
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Syntheses of differential games and pseudo‐Riccati equations
Abstract 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
Abstract 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
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Existence of a positive solution for nonlinear Schrödinger equations with general nonlinearity
Advances 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
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Rotationally invariant periodic solutions of semilinear wave equations
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 171-180, 1998., 1998 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