Increasing radial solutions for Neumann problems without growth restrictions

Abstract

We study the existence of positive increasing radial solutions for superlinear Neumann problems in the ball. We do not impose any growth condition on the nonlinearity at infinity and our assumptions allow for interactions with the spectrum. In our approach we use both topological and variational arguments, and we overcome the lack of compactness by considering the cone of nonnegative, nondecreasing radial functions of H^1.

16 pages

References in corpus (1)

• A note on the radial solutions for the supercritical Henon equation

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• Proof of the Bonheure-Noris-Weth conjecture on oscillatory radial solutions of Neumann problems
• Radial positive solutions for p-Laplacian supercritical Neumann problems
• Multiple positive solutions of the stationary Keller-Segel system
• A new variational principle, convexity and supercritical Neumann problems
• Multiplicity of solutions on a Nehari set in an invariant cone