Factorization of linear elliptic boundary value problems in non-cylindrical domains

Factorization of linear elliptic boundary value problems in non cylindrical domains

We present a method of factorization for linear elliptic boundary value problems considered in non cylindrical domains. We associate a control problem to the boundary value problem which regularizes it. The technique of change of variables is used to study this problem. To cite this article: J. Henry et al., C. R. Acad. Sci. Paris, Ser. I. Résumé Factorisation de problèmes aux limites linéaires...

Quasi-linear elliptic boundary value problems

Elliptic Boundary-Value Problems

In the first part of this chapter we focus on the question of well-posedness of boundary-value problems for linear partial differential equations of elliptic type. The second part is devoted to the construction and the error analysis of finite difference schemes for these problems. It will be assumed throughout that the coefficients in the equation, the boundary data and the resulting solution ...

Semilinear Elliptic Boundary-value Problems on Bounded Multiconnected Domains

A semilinear elliptic boundary-value problem on bounded multiconnected domains is studied. The authors prove that under suitable conditions, the problem may have no solutions in certain cases and many have one or two nonnegative solutions in some other cases. The radial solutions were also studied in annular domains.

Sub - Elliptic Boundary Value Problems Forquasilinear Elliptic

Classical solvability and uniqueness in the HH older space C 2+ () is proved for the oblique derivative problem a ij (x)D ij u + b(x; u; Du) = 0 in ; @u=@`= '(x) on @ in the case when the vector eld`(x) = (` 1 (x); : : : ; ` n (x)) is tangential to the boundary @ at the points of some non-empty set S @; and the nonlinear term b(x; u; Du) grows quadratically with respect to the gradient Du. 0. I...