# 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

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topKozlov, 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

top- [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
- [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
- [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
- [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
- [W] Warschawski, S.E. : On conformal mapping of infinite strips, Trans. Amer. Math. Soc. 52 (1942), 280-335. Zbl0028.40303MR4,9bJFM68.0168.01