Publication Cover
Applicable Analysis
An International Journal
Volume 37, 1990 - Issue 1-4
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Original Articles

Convexity properties for solutions of some second order elliptic semilinear equations

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Pages 1-18 | Published online: 02 May 2007

References

  • Caffarelli , L.A. and Spruck , J. 1982 . Convexity properties of solutions to some classical variational problems . Comm. Part. Diff. Eqs. , 7 : 1337 – 1379 .
  • Gilbarg , D.N.S. and Trudinger . 1977 . Elliptic partial differential equations of second order , Springer Verlag .
  • Kawohl , B. 1985 . Rearrangements and convexity of level setsinPDE . Lectures Notes in Mathematics , 1150
  • Longinetti . 1988 . Some isoperimetric inequalities for the level curves of capacity and Green's functions on convex plane domains . SIAM J. Math. Anal , 19 : 377 – 389 .
  • Payne , L.E. and Philippin , G.A. 1979 . On some maximum principles involving harmonic functions and their derivatives . SIAM J. Math. Anal , 10 : 96 – 104 .
  • Philippin , L.E. and Payne , G.A. 1979 . On the conformal capacity problem . In print Lectures Notes in Mathematics , 10
  • Protter , M.F. and Weinberger , H.F. 1984 . Maximum principles in differential equations , Springer-Verlag .
  • Philippin , G.A. 1984 . On a free boundary problem in electrostatic . In print Math. Methods in Appl. Sciences ,

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