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An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth
(American Institute of Mathematical Sciences, 2021-06)
We consider an optimization problem with volume constraint for an energy functional associated to an inhomogeneous operator with nonstandard growth. By studying an auxiliary penalized problem, we prove existence and ...
On the existence of G-equivariant maps
(SPRINGERNEW YORK, 2013-08-02)
Let G be a compact Lie group. Let X, Y be free G-spaces. In this paper, by using the numerical index i (X; R), under cohomological conditions on the spaces X and Y, we consider the question of the existence of G-equivariant ...
A free boundary problem for the p (x)-Laplacian
(Pergamon-Elsevier Science Ltd, 2009-01)
We consider the optimization problem of minimizing ∫Ω frac(1, p (x)) | ∇ u |p (x) + λ (x) χ{u > 0} d x in the class of functions W1, p ({dot operator}) (Ω) with u - φ0 ∈ W01, p ({dot operator}) (Ω), for a given φ0 ≥ 0 and ...
Borsuk-Ulam theorem for filtered spaces
(2021-03-01)
Let X and Y be pathwise connected and paracompact Hausdorff spaces equipped with free involutions T:X→X and S:Y→Y, respectively. Suppose that there exists a sequence (Xi,Ti)→ hi (Xi+1,Ti+1) for 1≤i≤k, where, for each i, ...
The simplest minimal free resolutions in P1×P1
(Springer, 2021)
We study the minimal bigraded free resolution of an ideal with three generators of the same bidegree, contained in the bihomogeneous maximal ideal 〈s, t〉∩〈u, v〉 of the bigraded ring K[s,t;u,v]. Our analysis involves tools ...
A free boundary problem in Orlicz spaces related to mean curvature
(Elsevier, 2021-11)
In this paper we address a one phase minimization problem for a functional that includes the perimeter of the positivity set. It also includes three terms, the first one is ∫fu and the second ∫u>0h where f and h are bounded ...
Open Spaces?
(2019)
This picture was taken in a community park in Costa Rica. The fear of crime has caused people to take measures which they believe could protect them against delinquency; as a consequence, many public spaces are being fenced ...
Network availability maximization for free-space optical satellite communications
(Institute of Electrical and Electronics Engineers, 2019-12-10)
This letter considers availability maximized ground station (GS) selection for free-space optical (FSO) satellite networks, which is a challenging problem in the area of optical satellite communications. As a main contribution ...
Characterizations of the free disposal condition for nonconvex economies on infinite dimensional commodity spaces
(SIAM Publications, 2015)
Our aim in this paper is to prove geometric characterizations of the free disposal condition for nonconvex economies on infinite dimensional commodity spaces even if the cone and the production set involved in the condition ...