Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024461 | Nonlinear Analysis: Real World Applications | 2017 | 17 Pages |
Abstract
We consider the solutions of a nonlinear Neumann elliptic equation Îu=0 in Ω, âu/âν=f(x,u) on âΩ, where Ω is a bounded open smooth domain in RN, Nâ¥2 and f satisfies super-linear and subcritical growth conditions. We prove that Lâ-bounds on solutions are equivalent to bounds on their Morse indices.
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Authors
Mohamed Ben Ayed, Habib Fourti, Abdelbaki Selmi,