Iterative bounds for the stable solutions of convex non-linear boundary value problems

DOI10.1017/S0308210500013901zbMath0343.35034OpenAlexW2487262894MaRDI QIDQ4112312

G. F. Roach, John W. Mooney

Publication date: 1977

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/s0308210500013901

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Stability in context of PDEs (35B35) Nonlinear elliptic equations (35J60)

Related Items (6)

Iterative methods for a singular boundary-value problem ⋮ Constructive existence theorems for problems of Thomas‐Fermi Type ⋮ The dependence of critical parameter bounds on the monotonicity of a Newton sequence ⋮ Exact bounds for the solution branches of nonlinear eigenvalue problems ⋮ A unified approach to the solution of certain classes of nonlinear boundary value problems using monotone iterations ⋮ On the positive solutions of some nonlinear diffusion problems

Cites Work

• On the number of solutions of asymptotically superlinear two point boundary value problems
• Positive solutions of convex nonlinear eigenvalue problems
• Non-linear heat generation and stability of the temperature distribution in conducting solids
• Elliptic boundary value problems suggested by nonlinear diffusion processes
• Some problems in the theory of quasilinear equations
• On the nonlinear equations Δ𝑢+𝑒^{𝑢}=0 and ∂𝑣/∂𝑡=Δ𝑣+𝑒^{𝑣}
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