Skip to content
IJAMR International Journal of Applied Mathematical Research E-ISSN 2227-4324

Maximum Principles for Fourth Order Uniformly Elliptic Equations with Applications, “This paper has been withdrawn”

Authors and Affiliations

  • D. B. Dhaigude
  • R. M. Dhaigude
  • Gajanan Lomte Dept. of Mathematics, Dr. B. A. M. University, Aurangabad-431 004, India.

About this article

Abstract

This paper has been withdrawn.

Author Biography

  • Gajanan Lomte, Dept. of Mathematics, Dr. B. A. M. University, Aurangabad-431 004, India.

    Dept. of Mathematics,

References

[1] D. R. Dunninger, ”Maximum principles for solutions of some fourth- order elliptic equatios”, J. Math. Anal. Appl., Vol.37, (1972), pp.655-658.

[2] D. B. Dhaigude and M.R.Gosavi, ”Maximum principles for fourth order semilinear elliptic equations and applications”, Diff. Eq. Dyna. systems Vol.12, (2004), pp.279-287.

[3] L. E. Payne, ”Some remarks on maximum principles”, J. Analyse Math., Vol.30, (1976), pp.421-433.

[4] P. W. Schaefer, ”On a maximum principle for a class of fourth order semilinear elliptic equations”, Proc. Royal Soc. Edinburgh, Vol.77A, (1977), pp.319-323.

[5] R.P.Sperb, Maximum Principles and Their Applications, Academic Press, New York, 1981.

View more references (3)

[6] S. N. Chow and D. R. Dunninger, ”A maximum principle for nmetaharmonic functions”, Proc. Amer. Math.Soc., Vol.43, (1974), pp.79-83.

[7] V. B. Goyal and P. W. Schaefer, ”Liouville theorems for elliptic systems and nonlinear equations of fourth order”, Proc. Royal Soc. Edinburgh, Vol.91A , (1982), pp.235-243.

[8] V. B. Goyal and P. W. Schaefer, ”Comparison principles for some fourth order elliptic problems”, Lect. Notes in Math., Vol.964, Springer Varlag, Berlin (1982), pp.272-279.


How to Cite

Dhaigude, D. B., Dhaigude, R. M., & Lomte, G. (2012). Maximum Principles for Fourth Order Uniformly Elliptic Equations with Applications, “This paper has been withdrawn”. International Journal of Applied Mathematical Research, 1(3), 248-258. https://doi.org/10.14419/ijamr.v1i3.79