Keywords
- Fredholm Operator
- Smooth Submanifold
- Banach Manifold
- Fredholm Mapping
- Transversal Mapping
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Foias C., Temam R. Structure of the set of stationary solutions of the Navier-Stokes equations // Commun. Pure Appl. Mat.1977, vol. 30.
Saut J.C., Temam R. Generic properties of Navier-Stokes equations: genericity with respect to the boundary values // Indiana Univ. Math. J. 1980, vol. 29, No 3, p. 427–446.
Quittner P. Generic properties of von Karman equation // Comment. Math. Univ. Carol. 1982, vol. 23, No 2, p. 399–413.
Tromba A.J. On the number of simply connected minimal surfaces spanning a curve // Memoirs of the AMS 1977, vol. 12, No.194, p. 78.
Zvyagin V.G. On the number of solutions for certain boundary-value problems // Global Analysis and Mathematical Physics. Voronezh, 1987, p. 60–72 (in Russian; see English translation in Lect. Notes Math., 1988, vol 1334).
Zvyagin V.G. The properness of elliptic and parabolic differential operators // Global Analysis and Ninlinear Equations. Voronezh, 1988 (in Russian; see English translation in this volume).
Lions J.L., Magenes E. Non-homogenous boundary value problems and applications. Berlin, Springer, 1972–1973.
Hassard B.D., Kazarinoff N.D., Y.-H.Wan. Theory and applications of Hopf bifurcation. Cambridge Univ. Press, 1981.
Borisovich Yu.G., Zvyagin B.G., Sapronov Yu.I. Non-linear Fredholm mappings and Leray-Schauder theory // Uspekhi Matem. Nauk. 1977, vol. 32, No 4 (in Russian; see English translation in Russian Mathematical Surveys).
Abraham R., Robbin J. Transversal mappings and flows, Benjamin, New York, Amsterdam, 1967.
Skrypnik I.V. Topological methods of investigation of general nonlinear elliptical boundary value problems // Geometry and Topology in Global Non-linear Problems. Voronezh, 1984 (in Russian; see English translation in Lect. Notes Math., 1984, vol. 1108).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag
About this chapter
Cite this chapter
Zvyagin, V.G. (1990). On the structure of the set of solutions of a non-linear elliptic problem with fixed boundary conditions. In: Borisovich, Y.G., Gliklikh, Y.E., Vershik, A.M. (eds) Global Analysis - Studies and Applications IV. Lecture Notes in Mathematics, vol 1453. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085963
Download citation
DOI: https://doi.org/10.1007/BFb0085963
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53407-5
Online ISBN: 978-3-540-46861-5
eBook Packages: Springer Book Archive
