Buscar
Mostrando ítems 61-70 de 4289
A singular perturbation problem for the p(x)-Laplacian
(Asociación Argentina de Matemática Aplicada, Computacional e Industrial, 2013-06)
We present results for the following singular perturbation problem:
∆p(x)uε := div(|∇uε(x)| p(x)−2∇uε) = βε(uε) + f ε, uε ≥ 0 (Pε(f ε))
in Ω ⊂ RN , where ε > 0, βε(s) = 1 εβ( s ε ), with β a Lipschitz function satisfying ...
Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian
(European Mathematical Society, 2017-04)
In this paper we study a one phase free boundary problem for the p (x)-Laplacian with non-zero right hand side. We prove that the free boundary of a weak solution is a C1,α surface in a neighborhood of every "flat" free ...
An inhomogeneous singular perturbation problem for the p(x)-Laplacian
(Pergamon-Elsevier Science Ltd, 2016-06)
In this paper we study the following singular perturbation problem for the pϵ(x)-Laplacian: Δpϵ (x)uϵ:=div(|∇uϵ(x)|pϵ (x)-2∇ uϵ)=βϵ(uϵ)+fϵ,uϵ≥0, (Pϵ(fϵ, pϵ)) where ϵ>0, βϵ(s)=1/ϵβ(s/ϵ), with β a Lipschitz function satisfying ...
Interior penalty discontinuous Galerkin FEM for the $p(x)$-Laplacian
(Siam Publications, 2012-09)
In this paper we construct an “interior penalty” discontinuous Galerkin method to approximate the minimizer of a variational problem related to the $p(x)$-Laplacian. The function $p:\Omega\to [p_1,p_2]$ is log-Hölder ...
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 ...
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 ...
Regularity of flat free boundaries for a p(x)-Laplacian problem with right hand side
(Pergamon-Elsevier Science Ltd, 2021-11)
We consider viscosity solutions to a one-phase free boundary problem for the p(x)-Laplacian with non-zero right hand side. We apply the tools developed in De Silva (2011) to prove that flat free boundaries are C1,α. Moreover, ...
H2 regularity for the p(x)-Laplacian in two-dimensional convex domains
(Academic Press Inc Elsevier Science, 2014-02)
In this paper we study the H2 global regularity for solutions of the p(x)-Laplacian in two-dimensional convex domains with Dirichlet boundary conditions. Here p:Ω→[p1, ∞) with p∈Lip(Ω-) and p1>1.