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Resumen
RESUMEN
Principio
del formulario
A constructive method applicable to the
solution of a wide class of free boundary problems is presented. A
solution-dependent transformation technique is introduced. By considering a
singular limit of the transformation, a related problem, to which local
bifurcation theory may be applied, is derived. By inverting the (near singular)
mapping between the two problems, an expression for solutions of the original
problem is obtained. The method is illustrated by the study of a singularly
perturbed elliptic equation. Approximate solutions are constructed and the
validity of the approximations established by means of the Contraction Mapping
Theorem.
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