Infinite Multiplicity of Positive Entire Solutions for a Semilinear Elliptic Equation
Infinite Multiplicity of Positive Entire Solutions for a Semilinear Elliptic Equation
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DOI：
10.1006/jdeq.2001.4079
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发表时间：
2002-05
影响因子：
2.4
通讯作者：
Soohyun Bae;Tongkeun Chang;D. Pahk
中科院分区：
文献类型：
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作者：
Soohyun Bae;Tongkeun Chang;D. Pahk
本文证明了在K，p，f上适当的条件下，椭圆型方程Δu+K(X)up+μf(X)=0在Rn中有无穷多个小μ⩾0的正整体解。
Abstract We establish that the elliptic equation Δu+K(x)up+μf(x)=0 in Rn has infinitely many positive entire solutions for small μ⩾0 under suitable conditions on K, p, and f.