Boundary trace of solutions of semilinear elliptic equalities and inequalities

Véron, Laurent

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 15 (2004), p. 301-314 / Harvested from Biblioteca Digitale Italiana di Matematica

Résumé

The boundary trace problem for positive solutions of $$-\triangle u + g(x ,u) \ge 0$$ is considered for nonlinearities of absorption type, and three different methods for defining the trace are compared. The boundary trace is obtained as a generalized Borel measure. The associated Dirichlet problem with boundary data in the set of such Borel measures is studied.

Détail

Publié le : 2004-12-01

MR 2148887 | Zbl 1113.35075

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