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Contemporary Mathematics. Fundamental Directions, 2003, Volume 1, Pages 56–68 (Mi cmfd31)  
Some Aspects of the Boundary Trace Problem for Solutions of Nonlinear Elliptic Equations

L. Véron

Université François Rabelais
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Abstract: 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.
English version:
Journal of Mathematical Sciences, 2004, Volume 124, Issue 4, Pages 5163–5175
DOI: https://doi.org/10.1023/B:JOTH.0000047251.59557.ca
Bibliographic databases:
UDC: 517.957
Language: Russian
Citation: L. Véron, “Some Aspects of the Boundary Trace Problem for Solutions of Nonlinear Elliptic Equations”, 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, CMFD, 1, MAI, M., 2003, 56–68; Journal of Mathematical Sciences, 124:4 (2004), 5163–5175
Citation in format AMSBIB
\Bibitem{Ver03}
\by L.~V\'eron
\paper Some Aspects of the Boundary Trace Problem for Solutions of Nonlinear Elliptic Equations
\inbook 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
\serial CMFD
\yr 2003
\vol 1
\pages 56--68
\publ MAI
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd31}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2129128}
\zmath{https://zbmath.org/?q=an:1125.35041}
\transl
\jour Journal of Mathematical Sciences
\yr 2004
\vol 124
\issue 4
\pages 5163--5175
\crossref{https://doi.org/10.1023/B:JOTH.0000047251.59557.ca}
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