Nonlinear Perron-Frobenius problem for order-preserving mappings. II: Applications

DOI10.3792/pjaa.69.317zbMath0797.47035OpenAlexW2025180686MaRDI QIDQ1318946

Toshiko Ogiwara

Publication date: 30 October 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.69.317

zbMATH Keywords

boundary value problemsDirichlet boundary conditionssemilinear elliptic equationbifurcation problempartial differential equationsindecomposableorder-preserving mappingsstrictly convex functionbifurcation branch of solutionsFujita lemmageneralized Fujita lemmanonlinear (but positively homogeneous) eigenvalue problemnonlinear Perron-Frobenius problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) General theory of partial differential operators (47F05) Applications of operator theory to differential and integral equations (47N20) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (2)

Positive eigenvalue-eigenvector of nonlinear positive mappings ⋮ Nonlinear Perron-Frobenius problem for order-preserving mappings. I

Cites Work

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• Geometric theory of semilinear parabolic equations
• Nonlinear Perron-Frobenius problem for order-preserving mappings. I
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• On the nonlinear equations Δ𝑢+𝑒^{𝑢}=0 and ∂𝑣/∂𝑡=Δ𝑣+𝑒^{𝑣}

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