Results 21 to 30 of about 217 (68)
Convergence estimates and approximation solvability of nonlinear implicit variational inequalities
International 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
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
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
Duality in nondifferentiable minimax fractional programming with B-(p, r)- invexity
, 2011 In this article, we are concerned with a nondifferentiable minimax fractional programming problem. We derive the sufficient condition for an optimal solution to the problem and then establish weak, strong, and strict converse duality theorems for the ...
I. Ahmad +3 more
semanticscholar +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
wiley +1 more source
Multiple solutions of nonlinear equations involving the square root of the Laplacian
, 2017 In this paper we examine the existence of multiple solutions of parametric fractional equations involving the square root of the Laplacian $A_{1/2}$ in a smooth bounded domain $\Omega\subset \mathbb{R}^n$ ($n\geq 2$) and with Dirichlet zero-boundary ...
Bisci, Giovanni Molica +2 more
core +5 more sources
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
On question about extension of maximin problem with phase constraints [PDF]
, 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
, 2018 We obtain a new quantitative deformation lemma, and then gain a new mountain pass theorem. More precisely, the new mountain pass theorem is independent of the functional value on the boundary of the mountain, which improves the well known results (\cite ...
Ding, Liang +2 more
core +1 more source
Multiple solutions for a class of fractional equations [PDF]
, 2015 In this paper we study a class of fractional Laplace equations with asymptotically linear right-hand side. The existence results of three nontrivial solutions under the resonance and non-resonance conditions are established by using the minimax method ...
Ma, Caochuan +2 more
core +2 more sources