Critical points of solutions to the obstacle problem in the plane

Shigeru Sakaguchi

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1994)

  • Volume: 21, Issue: 2, page 157-173
  • ISSN: 0391-173X

How to cite

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Sakaguchi, Shigeru. "Critical points of solutions to the obstacle problem in the plane." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 21.2 (1994): 157-173. <http://eudml.org/doc/84172>.

@article{Sakaguchi1994,
author = {Sakaguchi, Shigeru},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {obstacle problem; number of saddle points of the solution},
language = {eng},
number = {2},
pages = {157-173},
publisher = {Scuola normale superiore},
title = {Critical points of solutions to the obstacle problem in the plane},
url = {http://eudml.org/doc/84172},
volume = {21},
year = {1994},
}

TY - JOUR
AU - Sakaguchi, Shigeru
TI - Critical points of solutions to the obstacle problem in the plane
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1994
PB - Scuola normale superiore
VL - 21
IS - 2
SP - 157
EP - 173
LA - eng
KW - obstacle problem; number of saddle points of the solution
UR - http://eudml.org/doc/84172
ER -

References

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  1. [1] G. Alessandrini, Critical points of solutions of elliptic equations in two variables. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 14 (1987), 229-256. Zbl0649.35026
  2. [2] D. Gilbarg - N.S. Trudinger, Elliptic Partial Differential Equations of Second Order. Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1983. Zbl0562.35001
  3. [3] P. Hartman - A. Wintner, On the local behaviour of solutions of non-parabolic partial differential equations. Amer. J. Math.75 (1953), 449-476. Zbl0052.32201
  4. [4] B. Kawohl, Starshapedness of level sets for the obstacle problem and for the capacitory potential problem. Proc. Amer. Math. Soc.89 (1983), 637-640. Zbl0556.35051
  5. [5] D. Kinderlehrer - G. Stampacchia, An Introduction to Variational Inequalities and Their Applications. Academic Press, New York, London, Toronto, Sydney, San Francisco, 1980. Zbl0457.35001
  6. [6] R. Schneider, A note on branch points of minimal surfaces. Proc. Amer. Math. Soc.17 (1966), 1254-1257. Zbl0152.38804MR202068

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