A study of boundary value problem for an elliptic equation in Hölder spaces.
A study of the stationary reactive flow of a fluid cofined in -dimensional domains with holes using fixed point theory.
A Superconvergence result for mixed finite element approximations of the eigenvalue problem
In this paper, we present a superconvergence result for the mixed finite element approximations of general second order elliptic eigenvalue problems. It is known that a superconvergence result has been given by Durán et al. [Math. Models Methods Appl. Sci. 9 (1999) 1165–1178] and Gardini [ESAIM: M2AN 43 (2009) 853–865] for the lowest order Raviart-Thomas approximation of Laplace eigenvalue problems. In this work, we introduce a new way to derive the superconvergence of general second order elliptic...
A Superconvergence result for mixed finite element approximations of the eigenvalue problem∗
In this paper, we present a superconvergence result for the mixed finite element approximations of general second order elliptic eigenvalue problems. It is known that a superconvergence result has been given by Durán et al. [Math. Models Methods Appl. Sci. 9 (1999) 1165–1178] and Gardini [ESAIM: M2AN 43 (2009) 853–865] for the lowest order Raviart-Thomas approximation of Laplace eigenvalue problems. In this work, we introduce a new way to derive the superconvergence of general second order elliptic...
A symmetrization result for elliptic equations with lower-order terms
A symmetrization result for nonlinear elliptic equations.
We consider a solution u of the homogeneous Dirichlet problem for a class of nonlinear elliptic equations in the form A(u) = g(x,u) + f, where the principal term is a Leray-Lions operator defined on W01,p (Ω). The function g(x,u) satisfies suitable growth assumptions, but no sign hypothesis on it is assumed. We prove that the rearrangement of u can be estimated by the solution of a problem whose data are radially symmetric.
A unified approach to a posteriori error estimation using element residual methods.
A uniformly accurate finite volume discretization for a convection-diffusion problem.
A uniqueness result for an inverse problem
We establish a uniqueness result for an overdetermined boundary value problem. We also raise a new question.
A variational approach in weighted Sobolev spaces to the operator - ... + .../... X1 in exterior domains of IR3.
A variational characterization of the Fucík spectrum and applications.
A W 2, 2 Bound for a Class of Elliptic Equations in Nondivergence Form with Rough Coefficients.
A W1,p-Estimate for Solutions to Mixed Boundary Value Problems for Second Order Elliptic Differential Equtions.
A wavelet multigrid preconditioner for Dirichlet boundary value problems in general domains
A weak comparison principle for some quasilinear elliptic operators: it compares functions belonging to different spaces
We shall prove a weak comparison principle for quasilinear elliptic operators that includes the negative -Laplace operator, where satisfies certain conditions frequently seen in the research of quasilinear elliptic operators. In our result, it is characteristic that functions which are compared belong to different spaces.
A weakly over-penalized symmetric interior penalty method.
About mathematical model or some diffuse processes in the Mediterranean and exterior Poincare problem for the Helmholtz equation.
About some types of boundary value problems with interfaces
About stability of equilibrium shapes
About stability of equilibrium shapes
We discuss the stability of "critical" or "equilibrium" shapes of a shape-dependent energy functional. We analyze a problem arising when looking at the positivity of the second derivative in order to prove that a critical shape is an optimal shape. Indeed, often when positivity -or coercivity- holds, it does for a weaker norm than the norm for which the functional is twice differentiable and local optimality cannot be a priori deduced. We solve this problem for a particular but significant example....