Multiplicity of positive solutions for an equation with degenerate nonlocal diffusion

DOI10.1016/j.camwa.2019.02.029zbMath1442.35121arXiv1807.01900OpenAlexW2811331630WikidataQ110649213 ScholiaQ110649213MaRDI QIDQ2204057

Leszek Gasiński, João R. Santos Júnior

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01900

zbMATH Keywords

fixed pointsnonlocal problemsdegenerate coefficient

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Integro-partial differential equations (35R09)

Related Items (13)

Nonlocal double phase complementarity systems with convection term and mixed boundary conditions ⋮ Positive solutions for a class of nonlocal problems with possibly singular nonlinearity ⋮ Multiple ordered solutions for a class of elliptic problems involving fast increasing weights and nonlinearity with zeros ⋮ Multiple solutions for a Kirchhoff-type problem with vanishing nonlocal term and fractional \(p\)-Laplacian ⋮ Systems of Kirchhoff type equations with gradient dependence in the reaction term via subsolution-supersolution method ⋮ Nonexistence and multiplicity of positive solutions for an equation with degenerate nonlocal diffusion ⋮ Multiplicity of positive solutions for a degenerate nonlocal problem with \(p\)-Laplacian ⋮ Variable exponent \(p(x)\)-Kirchhoff type problem with convection ⋮ A degenerate Kirchhoff-type inclusion problem with nonlocal operator ⋮ Concave-convex behavior for a Kirchhoff type equation with degenerate nonautonomous coefficient ⋮ Global multiplicity for very-singular elliptic problems with vanishing non-local terms ⋮ Non-local degenerate diffusion coefficients break down the components of positive solutions ⋮ Periodic solutions for nonlocal \(p(t)\)-Laplacian systems

Cites Work

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• Positive solutions of elliptic Kirchhoff equations
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Positive solutions for a Kirchhoff problem with vanishing nonlocal term
• On the Existence of Positive Solutions for a Class of Semilinear Elliptic Boundary Value Problems
• Remarks on sublinear elliptic equations
• On multiple positive solutions of nonlinear elliptic eigenvalue problems
• On a class of nonlocal nonlinear elliptic problems
• On the non-linear vibration problem of the elastic string

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