Radial positive solutions for p-Laplacian supercritical Neumann problems

DOI10.6092/issn.2240-2829/7797zbMath1439.35178arXiv1709.04646MaRDI QIDQ5214979

Francesca Colasuonno, Benedetta Noris

Publication date: 5 February 2020

Full work available at URL: https://arxiv.org/abs/1709.04646

zbMATH Keywords

variational methodsNeumann boundary conditionsquasilinear elliptic equationsshooting methodSobolev-supercritical nonlinearities

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

Positive radial solutions for the Minkowski-curvature equation with Neumann boundary conditions ⋮ Theory and computation of radial solutions for Neumann problems with \(\phi\)-Laplacian ⋮ Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions ⋮ A priori bounds and multiplicity of positive solutions for p-Laplacian Neumann problems with sub-critical growth

Cites Work

• On the Bonheure-Noris-Weth conjecture in the case of linearly bounded nonlinearities
• Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions
• Increasing radial solutions for Neumann problems without growth restrictions
• A \(p\)-Laplacian supercritical Neumann problem
• Sturm-Liouville type problems for the \(p\)-Laplacian under asymptotic non-resonance conditions
• Radial solutions of equations and inequalities involving the \(p\)-Laplacian
• Existence and uniqueness of nonnegative solutions of quasilinear equations in \(\mathbb{R}^ n\)
• Increasing variational solutions for a nonlinear \(p\)-Laplace equation without growth conditions
• Pairs of Nodal Solutions for a Class of Nonlinear Problems with One-sided Growth Conditions
• A $p$-Laplacian Neumann problem with a possibly supercritical nonlinearity
• Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions

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