Multiple positive radial solutions on annuli for nonlinear Neumann problems with large growth

DOI10.1007/s00030-010-0092-zzbMath1216.35048OpenAlexW2030326757MaRDI QIDQ533632

Denis Bonheure, Enrico Serra

Publication date: 4 May 2011

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-010-0092-z

zbMATH Keywords

radial solutionsNeumann problemsmultiplicity resultslarge growth

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (15)

Multi-layer radial solutions for a supercritical Neumann problem ⋮ Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions ⋮ Multiple positive solutions of the stationary Keller-Segel system ⋮ Supercritical problems via a fixed point argument on the cone of monotonic functions ⋮ Multiple solutions of nonlinear Neumann inclusions ⋮ Increasing powers in a degenerate parabolic logistic equation ⋮ Increasing radial solutions for Neumann problems without growth restrictions ⋮ Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions ⋮ Semipositone nonlocal Neumann elliptic system depending on the gradient in exterior domains ⋮ A new variational principle, convexity, and supercritical Neumann problems ⋮ A \(p\)-Laplacian supercritical Neumann problem ⋮ Existence and uniqueness of monotone nodal solutions of a semilinear Neumann problem ⋮ Eigenvalue criteria for semipositone Neumann elliptic problem in exterior domain ⋮ Existence results for a supercritical Neumann problem with a convex -- concave non-linearity ⋮ Supercritical elliptic problems on nonradial domains via a nonsmooth variational approach

Cites Work

• Unnamed Item
• Monotonicity constraints and supercritical Neumann problems
• On the positive radial solutions of some semilinear elliptic equations on \(R_ n\)
• Nonexistence results for elliptic problems with supercritical nonlinearity in nontrivial domains
• Asymptotic behaviour of the Kazdan-Warner solution in the annulus
• A note on the radial solutions for the supercritical Hénon equation
• Positive constrained minimizers for supercritical problems in the ball
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• Remarks on some quasilinear elliptic equations

This page was built for publication: Multiple positive radial solutions on annuli for nonlinear Neumann problems with large growth