On the Bonheure-Noris-Weth conjecture in the case of linearly bounded nonlinearities

DOI10.3934/dcdsb.2016066zbMath1351.35057OpenAlexW2524729985WikidataQ123014377 ScholiaQ123014377MaRDI QIDQ325782

Tianlan Chen, Yanqiong Lu, Ru Yun Ma

Publication date: 11 October 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016066

zbMATH Keywords

bifurcationNeumann problemBonheure-Noris-Weth conjectureoscillatory radial solutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (13)

Radial positive solutions for p-Laplacian supercritical Neumann problems ⋮ Unnamed Item ⋮ Supercritical problems via a fixed point argument on the cone of monotonic functions ⋮ Multiple bounded variation solutions for a prescribed mean curvature equation with Neumann boundary conditions ⋮ Positive radial solutions for the Minkowski-curvature equation with Neumann boundary conditions ⋮ Three positive nonconstant radial solutions of nonlinear Neumann problems with indefinite weight ⋮ Ambrosetti-Prodi type results for a Neumann problem with a mean curvature operator in Minkowski spaces ⋮ Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions ⋮ A new variational principle, convexity, and supercritical Neumann problems ⋮ A nonlocal supercritical Neumann problem ⋮ Nonconstant positive radial solutions for Neumann problem involving the mean extrinsic curvature operator ⋮ A priori bounds and multiplicity of positive solutions for p-Laplacian Neumann problems with sub-critical growth ⋮ Supercritical elliptic problems on nonradial domains via a nonsmooth variational approach

Cites Work

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• Uniqueness of positive solutions of semilinear equations in \(R^ n\).
• Multiple positive solutions for a class of semipositone Neumann two point boundary value problems
• Global bifurcation and a theorem of Tarantello
• Nodal solutions for nonlinear eigenvalue problems
• Some global results for nonlinear eigenvalue problems
• Radial positive solutions of elliptic systems with Neumann boundary conditions
• BIFURCATION FROM SIMPLE EIGENVALUES AND EIGENVALUES OF GEOMETRIC MULTIPLICITY ONE

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