Picard iterates for positive solutions of a class of nonlinear eigenvalue problems

DOI10.1007/BF00948811zbMath0541.35034OpenAlexW4238553688MaRDI QIDQ794200

Juergen Weyer

Publication date: 1983

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00948811

zbMATH Keywords

convergenceGreen's functionDirichlet boundary conditionsnonlinear eigenvalue problemfirst eigenvaluemonotone operatorsnonlinear diffusioncomparison principlesPositive solutionsPicard iterates

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Related Items (1)

On the positive solutions of some nonlinear diffusion problems

Cites Work

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• Operator inequalities
• Nonlinear elliptic equations and operators of type L∗Ф ∘ L
• Elliptic Partial Differential Equations of Second Order
• Monotone perturbations of maximal monotone operators
• Perturbations of nonlinear maximal monotone sets in banach space

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