A computational algorithm for sublinear elliptic partial differential equations
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摘要
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.
论文关键词：Reduction algorithm,Sublinear problems,Lyapunov–Schmidt method,Dirichlet boundary value problem
论文评审过程：Available online 4 August 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2006.05.130
