On a method for solving the obstacle problem. (Sur une méthode de résolution d’un problème d’obstacle.) (French. English summary) Zbl 1254.35247
Summary: Our main goal is to give an adequate method allowing the solvability of an obstacle problem considered as a free boundary problem for which, at first, according to the data of the problem, we characterize the domain of noncontact with the obstacle. Next we solve a Dirichlet problem on this domain in view of obtaining the solution of the original variational inequality.
MSC:
35R35 | Free boundary problems for PDEs |
35J25 | Boundary value problems for second-order elliptic equations |