A computational algorithm for sublinear elliptic partial differential equations

G. A. Afrouzi

doi:10.1016/j.amc.2006.05.130

A computational algorithm for sublinear elliptic partial differential equations

2006-12-01

1

PRE

AI

DOI：10.1016/j.amc.2006.05.130

Original

Original request for help

Save

Abstract

En 中文

We consider a sublinear elliptic BVP on the unit square and recall that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. In this article we apply the Lyapunov-Schmidt reduction method to obtain fifth solution. (c) 2006 Elsevier Inc. All rights reserved.

Keywords:

reduction algorithm

sublinear problems

Lyapunov-Schmidt method

Dirichlet boundary value problem

A computational algorithm for sublinear elliptic partial differential equations

Abstract

Journal

Organization