TY - JOUR
T1 - Nonlinear scalar field equations in ℝN
T2 - Mountain pass and symmetric mountain pass approaches
AU - Hirata, Jun
AU - Ikoma, Norihisa
AU - Tanaka, Kazunaga
PY - 2010/9/10
Y1 - 2010/9/10
N2 - We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in ℝN : -Δu = g(u) in ℝN', u ∈ H1 (ℝN). We give an extension of the existence results due to H. Berestycki, T. GaIloüe't and O. Kavian [2]. We take a mountain pass approach in H1(ℝ N) and introduce a new method generating a Palais-Smale sequence with an additional property related to Pohozaev identity.
AB - We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in ℝN : -Δu = g(u) in ℝN', u ∈ H1 (ℝN). We give an extension of the existence results due to H. Berestycki, T. GaIloüe't and O. Kavian [2]. We take a mountain pass approach in H1(ℝ N) and introduce a new method generating a Palais-Smale sequence with an additional property related to Pohozaev identity.
KW - Minimax methods
KW - Nonlinear scalar field equations
KW - Radially symmetric solutions
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M3 - Article
AN - SCOPUS:77956325764
SN - 1230-3429
VL - 35
SP - 253
EP - 276
JO - Topological Methods in Nonlinear Analysis
JF - Topological Methods in Nonlinear Analysis
IS - 2
ER -