Maximum principles for fourth order semilinear elliptic boundary value problems

Gajanan C. Lomte; R. M. Dhaigude

doi: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

Authors Imprint References Funding Related Articles Downloads

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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