Publication Cover
Applicable Analysis
An International Journal
Volume 18, 1984 - Issue 1-2
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Original Articles

Some estimates of the norm of solutions of nonlinear elliptic eigenvalue problems

Pages 101-109 | Published online: 02 May 2007

References

  • Handle , C. 1980 . Isoperimetric Inequalities and Applications , Boston : Pitman .
  • Cosner , C. Estimates for eigenfunctions and eigenvalues of nonlinear elliptic problems , to appear, Trans. Amer. Math. Soc .
  • Cosner , C. and Protter , M.H. Bounds for the spectrum and the norm of solutions of nonlinear elliptic equations and systems , to appear, J. Differential Equations .
  • Gilbarg , D. and Trudinger , N.S. 1977 . Elliptic Partial Differential Equations of Second Order , New York : Springer Verlag .
  • Keener , J.P. and Keller , H.B. 1974 . J. Differential Equation , 16 : 103 – 125 .
  • Keller , H.B. and Cohen , D.S. 1967 . J. Math. Mech. Jt , 16 ( 12 ) : 1361 – 1376 .
  • Lions , P.L. 1982 . SIAM Review , 24 ( 4 ) : 441 – 467 .
  • Sperb , R.P. 1981 . Maximum Principles and their Applicationns , New York : Academic Press .

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