Boundary singularities of solutions to quasilinear elliptic equations

Vladimir Kozlov; Vladimir Maz'ya

Journées équations aux dérivées partielles (1999)

  • page 1-9
  • ISSN: 0752-0360

Abstract

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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.

How to cite

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Kozlov, Vladimir, and Maz'ya, Vladimir. "Boundary singularities of solutions to quasilinear elliptic equations." Journées équations aux dérivées partielles (1999): 1-9. <http://eudml.org/doc/93384>.

@article{Kozlov1999,
abstract = {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.},
author = {Kozlov, Vladimir, Maz'ya, Vladimir},
journal = {Journées équations aux dérivées partielles},
language = {eng},
pages = {1-9},
publisher = {Université de Nantes},
title = {Boundary singularities of solutions to quasilinear elliptic equations},
url = {http://eudml.org/doc/93384},
year = {1999},
}

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
PB - Université de Nantes
SP - 1
EP - 9
AB - 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.
LA - eng
UR - http://eudml.org/doc/93384
ER -

References

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  1. [KM1] Kozlov, V., Maz'ya, V. : Differential Equations with Operator Coefficients (with Applications to Boundary Value Problems for Partial Differential Equations), Monographs in Mathematics, Springer-Verlag, 1999. Zbl0920.35003MR2001d:34090
  2. [KM2] Kozlov, V., Maz'ya, V. : Comparison principles for nonlinear operator differential equations in Banach spaces, Differential Operators and Spectral Theory (M. Sh. Birman's 70th Anniversary Collection), Amer. Math. Soc. Transl., Ser. 2, 189 (1999). Zbl0923.34057MR2001k:34107
  3. [KM3] Kozlov, V., Maz'ya, V. : Angle singularities of solutions to the Neumann problem for the two-dimensional Riccati's equation, Asymptotic Analysis 19 (1999), 57-79. Zbl0931.35055MR2000e:35061
  4. [KMR] Kozlov, V., Maz'ya, V. and Rossmann J. : Elliptic boundary value problems in domains with point singularities, Mathematical Surveys and Monographs 52 (1997), Amer. Math. Soc. Zbl0947.35004MR98f:35038
  5. [W] Warschawski, S.E. : On conformal mapping of infinite strips, Trans. Amer. Math. Soc. 52 (1942), 280-335. Zbl0028.40303MR4,9bJFM68.0168.01

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