Positivity of solutions of elliptic equations with nonlocal terms

DOI10.1017/S0308210500022952zbMath0857.35029MaRDI QIDQ4885637

A. A. Barabanova, Walter Allegretto

Publication date: 13 October 1996

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

zbMATH Keywords

Green's functionpositive solutionsnonlocal problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (13)

Erratum to: ``Existence and uniqueness of steady state solutions of a nonlocal diffusive logistic equation ⋮ A saturation phenomenon for a nonlinear nonlocal eigenvalue problem ⋮ Existence of solution for a class of integro-differential sublinear problems with strong singularity ⋮ Existence of solutions of integro-differential semilinear elliptic equations ⋮ Some non-local problems with nonlinear diffusion ⋮ Existence of solutions of a nonlocal elliptic system via Galerkin method ⋮ Sharp estimates and saturation phenomena for a nonlocal eigenvalue problem ⋮ Nonlocal problems arising from the birth-jump processes ⋮ Remarks on a class of integro-differential problems ⋮ Further spectral properties of uniformly elliptic operators that include a non-local term ⋮ Monotone iterative sequences for non-local elliptic problems ⋮ Positivity results for a nonlocal elliptic equation ⋮ Existence and multiple of solutions for a class integro-differential equations with singular term via variational and Galerkin methods

Cites Work

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• Existence results for a nonlinear elliptic system modeling a temperature dependent electrical resistor
• Complicated dynamics of scalar reaction diffusion equations with a nonlocal term
• A Bound for the Temperature in the Thermistor Problem
• $C^\alpha (\bar \Omega )$ Solutions of a Class of Nonlinear Degenerate Elliptic Systems Arising in the Thermistor Problem
• A nonlinear boundary value problem involving a nonlocal term
• A nonlocal Sturm–Liouville eigenvalue problem
• A non-local thermistor problem
• Existence and uniqueness of solutions to an electrochemistry system

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