Maximum principles for fourth order semilinear elliptic boundary value problems

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DOI:

https://doi.org/10.26637/mjm103/007

Abstract

The paper is devoted to prove maximum principles for the certain functionals defined on solution of the fourth order semilinear elliptic equation. The maximum principle so obtained is used to prove the non-existence of nontrivial solutions of the fourth order semilinear elliptic equation with some zero boundary conditions. Hopf’s maximum principle is main ingredient.

Keywords:

Maximum principles, fourth order elliptic equations, integral bounds

Mathematics Subject Classification:

35J40, 35J61
  • Gajanan C. Lomte Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431004, India.
  • R. M. Dhaigude Government Vidarbha Institute of Science and Humanities, Amravati-444 604, Maharashtra, India.
  • Pages: 44-48
  • Date Published: 01-07-2013
  • Vol. 1 No. 03 (2013): Malaya Journal of Matematik (MJM)

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

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Published

01-07-2013

How to Cite

Gajanan C. Lomte, and R. M. Dhaigude. “Maximum Principles for Fourth Order Semilinear Elliptic Boundary Value Problems”. Malaya Journal of Matematik, vol. 1, no. 03, July 2013, pp. 44-48, doi:10.26637/mjm103/007.

Issue

Vol. 1 No. 03 (2013): Malaya Journal of Matematik (MJM)

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Articles

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Copyright (c) 2013 MJM

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