Geodesic
Some Aspects of the Boundary Trace Problem for Solutions of Nonlinear Elliptic Equations
Contemporary Mathematics. Fundamental Directions, Proceedings of the International Conference on Differential and Functional-Differential Equations — Satellite of International Congress of Mathematicians ICM-2002 (Moscow, MAI, 11–17 August, 2002). Part 1, Tome 1 (2003), pp. 56-68

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The boundary trace problem for positive solutions of $-\Delta u+g(x,u)=0$ is considered for a large class of nonlinearities and three different methods for defining the trace are compared. The boundary trace is usually a generalized Borel measure. The associated Dirichlet problem with boundary data in the set of such Borel measures is studied. 
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L. Véron. Some Aspects of the Boundary Trace Problem for Solutions of Nonlinear Elliptic Equations. Contemporary Mathematics. Fundamental Directions, Proceedings of the International Conference on Differential and Functional-Differential Equations — Satellite of International Congress of Mathematicians ICM-2002 (Moscow, MAI, 11–17 August, 2002). Part 1, Tome 1 (2003), pp. 56-68. http://geodesic.mathdoc.fr/item/CMFD_2003_1_a4/