NONLINEAR SCALAR FIELD EQUATIONS IN R N : MOUNTAIN PASS AND SYMMETRIC MOUNTAIN PASS APPROACHES
NONLINEAR SCALAR FIELD EQUATIONS IN R N : MOUNTAIN PASS AND SYMMETRIC MOUNTAIN PASS APPROACHES
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发表时间：
2010
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通讯作者：
Jun Hirata;N. Ikoma;Kazunaga Tanaka
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作者：
Jun Hirata;N. Ikoma;Kazunaga Tanaka
本文研究了RN中下列非线性标量场方程：− H u = g（u）in R，u ∈ H（R）的径向对称解的存在性.我们推广了H. Berestycki，T. Gallouët和O. Kavian [2].我们在H1（RN）中采用了一种山路方法，并引入了一种新的方法生成一个具有与Pohozaev身份相关的附加属性的Palais-Smale序列。
We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in RN : −∆u = g(u) in R , u ∈ H(R ). We give an extension of the existence results due to H. Berestycki, T. Gallouët and O. Kavian [2]. We take a mountain pass approach in H1(RN ) and introduce a new method generating a Palais–Smale sequence with an additional property related to Pohozaev identity.