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 H1(B)
Bonheure, D., Noris, B., Weth, T. (2012). Increasing radial solutions for Neumann problems without growth restrictions. ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE, 29(4), 573-588 [10.1016/j.anihpc.2012.02.002].
Increasing radial solutions for Neumann problems without growth restrictions
NORIS, BENEDETTA;
2012
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 H1(B)
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