Nonexistence and multiplicity of positive solutions for an equation with degenerate nonlocal diffusion

DOI10.1112/blms.12342zbMath1453.35067OpenAlexW3024320982MaRDI QIDQ3300089

João R. Santos Júnior, Leszek Gasiński

Publication date: 27 July 2020

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms.12342

zbMATH Keywords

diffusionpositive solutiondegenerate nonlocal problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (8)

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 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 ⋮ Asymptotic analysis of double phase mixed boundary value problems with multivalued convection term ⋮ Multiplicity of positive solutions for a degenerate nonlocal problem with \(p\)-Laplacian ⋮ Variable exponent \(p(x)\)-Kirchhoff type problem with convection ⋮ Convergence analysis of a power penalty approach for a class of nonlocal double phase complementarity systems

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• On multiple positive solutions of nonlinear elliptic eigenvalue problems
• On a class of nonlocal nonlinear elliptic problems
• Positive solutions for a degenerate Kirchhoff problem
• On the non-linear vibration problem of the elastic string

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