Journal of Fixed Point Theory and Applications

, Volume 5, Issue 2, pp 353–395

Some remarks on singular solutions of nonlinear elliptic equations. I


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

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


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).



Nonlinear elliptic equationsstrong maximum principlemethod of moving planessingular solutions

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© Birkhäuser Verlag Basel/Switzerland 2009