Zobrazeno 1 - 10
of 165
pro vyhledávání: '"49J27"'
We propose a generalization, where negative weights are allowed, of the Wasserstein barycenter of $n$ probability measures. The barycenter is found, as usual, as a minimum of a functional. In this paper, we prove existence of a minimizer for probabil
Externí odkaz:
http://arxiv.org/abs/2411.06838
We consider a class of elliptic quasivariational inequalities in a reflexive Banach space $X$ for which we recall a convergence criterion obtained in [10]. Each inequality $\cal P$ in the class is governed by a set of constraints $K$ and has a unique
Externí odkaz:
http://arxiv.org/abs/2409.16031
We introduce a diffuse-interface Landau-de Gennes free energy for free-boundary nematic liquid crystals (NLC) in three dimensions submerged in isotropic liquid, where a phase field is introduced to model the deformable interface. The energy we propos
Externí odkaz:
http://arxiv.org/abs/2407.21437
Autor:
Stefanelli, Ulisse
The Weighted Inertia-Energy-Dissipation (WIDE) principle is a global variational approach to nonlinear evolution equations of parabolic and hyperbolic type. The minimization of the parameter-dependent WIDE functional on trajectories delivers an ellip
Externí odkaz:
http://arxiv.org/abs/2407.20933
We consider a general optimal control problem in the setting of gradient flows. Two approximations of the problem are presented, both relying on the variational reformulation of gradient-flow dynamics via the Weighted-Energy-Dissipation variational a
Externí odkaz:
http://arxiv.org/abs/2403.15055
Autor:
Katzourakis, Nikos, Moser, Roger
We study variational problems for second order supremal functionals $\mathrm F_\infty(u)= \|F(\cdot,u,\mathrm D u,\mathrm{A}\!:\!\mathrm D^2u)\|_{\mathrm L^{\infty}(\Omega)}$, where $F$ satisfies certain natural assumptions, $\mathrm A$ is a positive
Externí odkaz:
http://arxiv.org/abs/2403.12625
In this work, we provide some novel results that establish both the existence of Henig global proper efficient points and their density in the efficient set for vector optimization problems in arbitrary normed spaces. Our results do not require the a
Externí odkaz:
http://arxiv.org/abs/2401.10103
We study shortest curves in proximally smooth subsets of a Hilbert space. We consider an $R$-proximally smooth set $A$ in a Hilbert space with points $a$ and $b$ satisfying $\left|{a-b}\right| < 2R.$ We provide a simple geometric algorithm of constru
Externí odkaz:
http://arxiv.org/abs/2308.15279
In this paper, we derive some new results for the separation of two not necessarily convex cones by a (convex) cone / conical surface in real (reflexive) normed spaces. In essence, we follow the nonlinear and nonsymmetric separation approach develope
Externí odkaz:
http://arxiv.org/abs/2303.06392
Autor:
Betz, Livia
Motivated by fatigue damage models, this paper addresses optimal control problems governed by a non-smooth system featuring two non-differentiable mappings. This consists of a coupling between a doubly non-smooth history-dependent evolution and an el
Externí odkaz:
http://arxiv.org/abs/2302.05627