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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.