Article ID Journal Published Year Pages File Type
5024461 Nonlinear Analysis: Real World Applications 2017 17 Pages PDF
Abstract
We consider the solutions of a nonlinear Neumann elliptic equation Δu=0 in Ω, ∂u/∂ν=f(x,u) on ∂Ω, where Ω is a bounded open smooth domain in RN, N≥2 and f satisfies super-linear and subcritical growth conditions. We prove that L∞-bounds on solutions are equivalent to bounds on their Morse indices.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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