Results 41 to 50 of about 805 (130)
Variational inequalities for the spectral fractional Laplacian [PDF]
, 2016 In this paper we study the obstacle problems for the Navier (spectral) fractional Laplacian $\left(-\Delta_\Omega\right)^{\!s}$ of order $s\in(0,1)$, in a bounded domain $\Omega\subset\mathbb R^n$.
arxiv +1 more source
Stability for the logarithmic Sobolev inequality [PDF]
arXiv, 2023 This paper is devoted to stability results for the Gaussian logarithmic Sobolev inequality, with explicit stability constants.
arxiv
, 2013 In ordered Banach spaces, characterizations of ordered (αA,λ)-weak-ANODD set-valued mappings are introduced and studied, which is applied to giving an approximate solution for a new class of general nonlinear mixed-order quasi-variational inclusions ...
Hong Gang Li, D. Qiu, Yangyang Zou
semanticscholar +1 more source
Principal eigenvalue characterization connected with stochastic particle motion in a finite interval
International Journal of Stochastic Analysis, Volume 15, Issue 4, Page 349-356, 2002., 2002 In this paper, we show that despite their distinction, both the Statonovich and Îto s calculi lead to the same reactive Fokker‐Planck equation: ∂p∂t−∂∂x[D∂p∂x−bp]=λmp, (1) describing stochastic dynamics of a particle moving under the influence of an indefinite potential m(x, t), a drift b(x, t), and a constant diffusion D.
Fethi Bin Muhammad Belgacem +1 more
wiley +1 more source
Proximal algorithm and calibrated cycles [PDF]
arXiv, 2023 We sketch an application of proximal algorithms to the deformation of de Rham currents into cycles, which is presented as a convex optimization problem. Emphasis is placed on the use of total variation denoising for differential forms, specifically in constructing calibrated cycles in calibrated manifolds.
arxiv
Solving GNOVI frameworks involving (γG,λ)-weak-GRD set-valued mappings in positive Hilbert spaces
, 2014 First, a new concept, positive Hilbert spaces, is introduced and some fundamental inequalities which are applied to studying the properties of the resolvent operator associated for (γG,λ)-weak-GRD set-valued mappings are introduced and discussed in ...
Hong Gang Li +3 more
semanticscholar +1 more source
Mixed variational inequalities and economic equilibrium problems
Journal of Applied Mathematics, Volume 2, Issue 6, Page 289-314, 2002., 2002 We consider rather broad classes of general economic equilibrium problems and oligopolistic equilibrium problems which can be formulated as mixed variational inequality problems. Such problems involve a continuous mapping and a convex, but not necessarily differentiable function. We present existence and uniqueness results of solutions under weakened P‐
I. V. Konnov, E. O. Volotskaya
wiley +1 more source
Some algorithms for equilibrium problems on Hadamard manifolds
, 2012 In this paper, we suggest and analyze an iterative method for solving the equilibrium problems on Hadamard manifolds using the auxiliary principle technique. We also consider the convergence analysis of the proposed method under suitable conditions. Some
M. Noor, K. Noor
semanticscholar +1 more source
Convergence theorems for common solutions of various problems with nonlinear mapping
Journal of Inequalities and Applications, 2014 In this paper, motivated and inspired by Zegeye and Shahzad (Nonlinear Anal. 70:2707-2716, 2009), Qin et al. (J. Comput. Appl. Math. 225(1):20-30, 2009) and Kimura and Takahashi (J. Math. Anal. Appl.
Kyung Soo Kim, J. Kim, W. H. Lim
semanticscholar +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 309-319, 2001., 2001 This paper deals with the finite element approximation of a class of variational inequalities (VI) and quasi‐variational inequalities (QVI) with the right‐hand side depending upon the solution. We prove that the approximation is optimally accurate in L∞ combining the Banach fixed point theorem with the standard uniform error estimates in linear VIs and
M. Boulbrachene +2 more
wiley +1 more source