Journal of Fixed Point Theory and Applications

, Volume 5, Issue 2, pp 353–395

Some remarks on singular solutions of nonlinear elliptic equations. I

Authors

  • Luis Caffarelli
    • Department of MathematicsThe University of Texas
    • Department of MathematicsRutgers University
  • Louis Nirenberg
    • Courant Institute
Article

DOI: 10.1007/s11784-009-0107-8

Cite this article as:
Caffarelli, L., Li, Y.Y. & Nirenberg, L. J. fixed point theory appl. (2009) 5: 353. doi:10.1007/s11784-009-0107-8

Abstract.

We study strong maximum principles for singular solutions of nonlinear elliptic and degenerate elliptic equations of second order. An application is given on symmetry of positive solutions in a punctured ball using the method of moving planes.

Mathematics Subject Classification (2000).

35J69 58J05 53C21 35J60

Keywords.

Nonlinear elliptic equations strong maximum principle method of moving planes singular solutions

Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009