Results 41 to 50 of about 148 (54)

Existence results for equilibrium problem [PDF]

arXiv, 2016
In this work, we introduce the notion of regularization of bifunctions in a similar way as the well- known convex, quasiconvex and lower semicontinuous regularizations due to Crouzeix. We show that the Equilibrium Problems associated to bifunctions and their regularizations are equivalent in the sense of having the same solution set.
arxiv  

Estimation of samples relevance by their histograms [PDF]

arXiv, 2017
The problem of the estimation of relevance to a set of histograms generated by samples of a discrete time process is discussed on the base of the variational principles proposed in the previous paper [1]. Some conditions for dimension reduction of corresponding linear programming problems are presented also.
arxiv  

The concentration-compactness principles for $W^{s,p(\cdot,\cdot)}(\mathbb{R}^N)$ and application [PDF]

arXiv, 2019
We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems with variable exponents, which is even new for constant exponent case.
arxiv  

Duality in nondifferentiable minimax fractional programming with B-(p, r)-invexity

Journal of Inequalities and Applications, 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 ...
Kailey N, Gupta SK, Ahmad Izhar, Agarwal Ravi   +3 more
doaj  

Quasi-equilibrium problems with generalized monotonicity [PDF]

arXiv, 2018
In this work, we propose a new existence result for quasi-equilibrium problems using generalized monotonicity in an infinite dimensional space. Also, we show that the notions of generalized monotonicity can be characterized in terms of solution sets of equilibrium problems and convex feasibility problems.
arxiv  

Concentration-compactness at the mountain pass level in semilinear elliptic problems [PDF]

arXiv, 2007
The concentration compactness framework for semilinear elliptic equations without compactness, set originally by P.-L.Lions for constrained minimization in the case of homogeneous nonlinearity, is extended here to the case of general nonlinearities in the standard mountain pass setting of Ambrosetti-Rabinowitz.
arxiv  

Optimal Shape Design for Stokes Flow Via Minimax Differentiability [PDF]

arXiv, 2007
This paper is concerned with a shape sensitivity analysis of a viscous incompressible fluid driven by Stokes equations with nonhomogeneous boundary condition. The structure of shape gradient with respect to the shape of the variable domain for a given cost function is established by using the differentiability of a minimax formulation involving a ...
arxiv  

The longest shortest fence and sharp Poincaré-Sobolev inequalities [PDF]

arXiv, 2010
We prove a long standing conjecture concerning the fencing problem in the plane: among planar convex sets of given area, prove that the disc, and only the disc maximizes the length of the shortest area-bisecting curve. Although it may look intuitive, the result is by no means trivial since we also prove that among planar convex sets of given area the ...
arxiv  

Finding critical points whose polarization is also a critical point [PDF]

Topol. Methods Nonlinear Anal. 40 (2012), no. 2, 371-379, 2011
We show that near any given minimizing sequence of paths for the mountain pass lemma, there exists a critical point whose polarization is also a critical point. This is motivated by the fact that if any polarization of a critical point is also a critical point and the Euler-Lagrange equation is a second-order semi-linear elliptic problem, T. Bartsch, T.
arxiv