Padé approximant bounds on the positive solutions of some nonlinear elliptic equations

DOI10.1017/S0308210500010234zbMath0405.35033OpenAlexW2332586378MaRDI QIDQ4190997

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Publication date: 1978

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500010234

zbMATH Keywords

Laplace TransformNonlinear Elliptic EquationsPositive SolutionBifurcation PointNeumann-Dirichlet Boundary ConditionsPade Approximant BoundsTchebycheff Systems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Theoretical approximation in context of PDEs (35A35) Continuation and prolongation of solutions to PDEs (35B60) Bifurcations in context of PDEs (35B32)

Cites Work

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• Positive solutions of nonlinear eigenvalue problems: Applications to nonlinear reactor dynamics
• Nonlinear problems in the physical sciences and biology. Proceedings of a Battelle Summer Institute, Seattle, July 3-28, 1972
• Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• The bounding properties of the multipoint Padé approximant to a series of Stieltjes on the real line
• Best Error Bounds for Padé Approximants to Convergent Series of Stieltjes

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