A numerical method for finding positive solutions of a superlinear Dirichlet problem

DOI10.1016/J.AMC.2006.02.041zbMath1105.65109OpenAlexW2069958567MaRDI QIDQ856154

Ghasem Alizadeh Afrouzi, Somayeh Khademloo

Publication date: 7 December 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.02.041

zbMATH Keywords

finite difference methodpositive solutionsnumerical examplesbifurcationnonlinear eigenvalue problemmultiple solutionselliptic boundary value problems

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Bifurcations in context of PDEs (35B32)

Cites Work

• Existence of solitary waves in higher dimensions
• Dual variational methods in critical point theory and applications
• Quasilinear Dirichlet problems driven by positive sources
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Some problems in the theory of quasilinear equations
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