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Title Numerical results for positive solutions of a superlinear elliptic equation
Type JournalPaper
Keywords Elliptic boundary value problems; Multiple solutions; Finite difference method
Abstract In this work we present a numerical approach for finding positive solutions of the type Du = kf(u) for x 2 X, with Dirichlet boundary condition, where f is a superlinear function of u. We will show in which range of k, this problem achieves multiple numerical solutions and what is the behavior of the branches of solutions.
Researchers somaye khademloo (Second Researcher), Ghasem Alizadeh Afrouzi (First Researcher)