Sign‐changing bubble for Neumann problem with critical nonlinearity on the boundary | Zendy

Ammar Siwar | Zendy; Hammami Mokhless | Zendy; Ismail Houria | Zendy

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Sign‐changing bubble for Neumann problem with critical nonlinearity on the boundary

Author(s) -

Ammar Siwar,

Hammami Mokhless,

Ismail Houria

Publication year - 2016

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.4018

Subject(s) - mathematics , bounded function , sign (mathematics) , neumann boundary condition , bubble , construct (python library) , nonlinear system , boundary (topology) , von neumann architecture , boundary value problem , function (biology) , continuous function (set theory) , mathematical analysis , pure mathematics , computer science , evolutionary biology , physics , quantum mechanics , parallel computing , biology , programming language

The main purpose of this paper is to construct sign‐changing solution for the following Neumann problem: ( P ) : Δ u = 0 , inR + n , and − ∂u ∂ x n= K ( x ) | u |2 n − 2u on ∂ R + n ,where n ≥3 and K is a bounded and continuous function onR n − 1 , which concentrate around two critical points satisfying some conditions. Copyright © 2016 John Wiley & Sons, Ltd.

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