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On the first nontrivial eigenvalue of the ∞-Laplacian with Neumann boundary conditions
(University of Houston, 2016-06)
We study the limit as p goes to infinity of the first non-zero eigenvalue λp of the p-Laplacian with Neumann boundary conditions in a smooth bounded domain U of Rn. We prove that λ∞:=lim λp1/p=2/diam(U), where diam(U) ...
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 ...
El método de Lattice Boltzmann con condiciones de borde en geometrías no regulares
(CRUC-IUA UNDEF, 2012)
El método de Lattice Boltzmann (LBM) ha demostrando su eficacia y potencial
para tratar problemas con diversos flujos de fluidos, desde flujos laminares a bajos números
de Reynolds hasta flujos altamente turbulentos, ...
Size estimates of an obstacle in a stationary Stokes fluid
(IOP Publishing Ltd, 2017)
In this work we are interested in estimating the size of a cavity D immersed in a bounded domain Omega subset of R-d, d = 2, 3, filled with a viscous fluid governed by the Stokes system, by means of velocity and Cauchy ...
Structure and diffuse-boundary in hydrophobic and sodium dodecyl sulfate-modified silica aerogels
(2016-03-15)
Small-angle X-ray scattering (SAXS) and nitrogen adsorption were used to study ambient pressure drying (APD) silica aerogels prepared from hydrolysis of tetraethoxysilane (TEOS) with additions of sodium dodecyl sulfate ...
Boundary singularities for weak solutions of semilinear elliptic problems
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2007)
Let Omega be a bounded domain in R-N, N >= 2, with smooth boundary partial derivative Omega. We construct positive weak solutions of the problem Delta u + u(p) = 0 in Omega, which vanish in a suitable trace sense on partial ...
Convergence of simultaneous distributed-boundary parabolic optimal control problems
(American Institute of Mathematical Sciences, 2020-12)
We consider a heat conduction problem S with mixed boundary conditions in a n-dimensional domain Ω with regular boundary Γ and a family of problems Sα, where the parameter α > 0 is the heat transfer coefficient on the ...
Treatment Of Hypersingularities In Boundary Element Anisotropic Plate Bending Problems
(Brazilian Association of Computational Mechanics, 2003)
Existence and regularity properties of non-isotropic singular elliptic equations
(SpringerNew YorkEUA, 2011)
A comnutative diagram among discrete and continuous Neumann boundary optimal control problems
(Pushpa Publishing House, 2014-12)
We consider a bounded domain nR⊂Ω whose regular boundary 21ΓΓ=Ω∂=Γ∪ consists of the union of two disjoint portions 1Γ and 2Γ with positive measures. The convergence of a family of continuous Neumann boundary mixed elliptic ...