Regularity in Morrey spaces of strong solutions to nondivergence elliptic equations with VMO coefficients.
Regularity of domains of parameterized families of closed linear operators
The purpose of this paper is to provide a method of reduction of some problems concerning families of linear operators with domains to a problem in which all the operators have the same domain . To do it we propose to construct a family of automorphisms of a given Banach space X having two properties: (i) the mapping is sufficiently regular and (ii) for t ∈ . Three effective constructions are presented: for elliptic operators of second order with the Robin boundary condition with a parameter;...
Regularity of renormalized solutions to nonlinear elliptic equations away from the support of measure data
We prove boundedness and continuity for solutions to the Dirichlet problem for the equation where the left-hand side is a Leray-Lions operator from into with , is a Carathéodory function which grows like and is a finite Radon measure. We prove that renormalized solutions, though not globally bounded, are Hölder-continuous far from the support of .
Regularity of the optimal shape for the first eigenvalue of the laplacian with volume and inclusion constraints
Regularity of the Poisson kernel and free boundary problems
Regularity of the solution of some transmission problems in domains with cuspidal point
Regularity results for transmission problems in domains with (outgoing) cuspidal points are considered. We prove in some special but generic situations that the solution is piecewise in .
Regularity of the solutions for a Robin problem and some applications.
Regularity of weak solutions for a class of infintely degenerate elliptic semilinear equation
Regularity of weak solutions of degenerate elliptic equations.
Regularity properties of semilinear boundary problems in Besov and Triebel-Lizorkin spaces
Regularity properties of solutions of elliptic equations in in limit cases
In this paper the Dirichlet problem for a linear elliptic equation in an open, bounded subset of is studied. Regularity properties of the solutions are proved, when the data are -functions or Radon measures. In particular sharp assumptions which guarantee the continuity of solutions are given.
Regularity results for a class of quasiconvex functionals with nonstandard growth
Relations between the boundary values and periods for generalized analytic functions in
Relèvement polynômial de traces et applications
Remark on the structure of the range of second order nonlinear elliptic operator
Remarque sur la conjecture de Weyl.
Remarques sur les algorithmes de décomposition de domaines
Remarques sur les équations linéaires elliptiques du second ordre sous forme divergence dans les domaines non bornés
Si dimostra resistenza e l'unicità della soluzione del problema , nel caso in cui è un aperto di non limitato, è un operatore variazionale ellittico del secondo ordine a coefficienti misurabili e limitati e appartiene a .
Renormalized solutions of elliptic equations with general measure data
Residual and hierarchical a posteriori error estimates for nonconforming mixed finite element methods
We analyze residual and hierarchical a posteriori error estimates for nonconforming finite element approximations of elliptic problems with variable coefficients. We consider a finite volume box scheme equivalent to a nonconforming mixed finite element method in a Petrov–Galerkin setting. We prove that all the estimators yield global upper and local lower bounds for the discretization error. Finally, we present results illustrating the efficiency of the estimators, for instance, in the simulation...