Boundary singularities of solutions to quasilinear elliptic equations
Journées équations aux dérivées partielles (1999), article no. 7, 9 p.
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Asymptotic formulae for solutions to boundary value problems for linear and quasilinear elliptic equations and systems near a boundary point are discussed. The boundary is not necessarily smooth. The main ingredient of the proof is a spectral splitting and reduction of the original problem to a finite-dimensional dynamical system. The linear version of the corresponding abstract asymptotic theory is presented in our new book “Differential equations with operator coefficients”, Springer, 1999.
@incollection{JEDP_1999____A7_0,
author = {Kozlov, Vladimir and Maz'ya, Vladimir},
title = {Boundary singularities of solutions to quasilinear elliptic equations},
booktitle = {},
series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
eid = {7},
pages = {1--9},
publisher = {Universit\'e de Nantes},
year = {1999},
doi = {10.5802/jedp.551},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/jedp.551/}
}
TY - JOUR AU - Kozlov, Vladimir AU - Maz'ya, Vladimir TI - Boundary singularities of solutions to quasilinear elliptic equations JO - Journées équations aux dérivées partielles PY - 1999 SP - 1 EP - 9 PB - Université de Nantes UR - http://geodesic.mathdoc.fr/articles/10.5802/jedp.551/ DO - 10.5802/jedp.551 LA - en ID - JEDP_1999____A7_0 ER -
%0 Journal Article %A Kozlov, Vladimir %A Maz'ya, Vladimir %T Boundary singularities of solutions to quasilinear elliptic equations %J Journées équations aux dérivées partielles %D 1999 %P 1-9 %I Université de Nantes %U http://geodesic.mathdoc.fr/articles/10.5802/jedp.551/ %R 10.5802/jedp.551 %G en %F JEDP_1999____A7_0
Kozlov, Vladimir; Maz'ya, Vladimir. Boundary singularities of solutions to quasilinear elliptic equations. Journées équations aux dérivées partielles (1999), article no. 7, 9 p.. doi: 10.5802/jedp.551
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