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Bifurcation of Laplace Equation with Nonlinear Boundary Condition and Bistable Nonlinearity

Author(s):

S. K. Reka , Vivekanandha College of Arts and Sciences for Women ; R. Ranjitha, Vivekanandha College of Arts and Sciences for Women ; G. Pramila, Vivekanandha College of Arts and Sciences for Women ; S. A. Vijaya Lakshmi, Vivekanandha College of Arts and Sciences for Women

Keywords:

Bifurcation, Stability, Nonlinear Boundary Condition, Laplace Equation, Bistable

Abstract

In this work, we investigate the existence of solutions of nonlinear boundary condition and bistable nonlinearity, which involve the bifurcation of positive solutions with stability. By using the Laplace equation. A subsist results is also given to illustrate the effectiveness of our main result.

Other Details

Paper ID: IJSRDV6I50429
Published in: Volume : 6, Issue : 5
Publication Date: 01/08/2018
Page(s): 1021-1023

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