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Infinite Multiplicity of Positive Entire Solutions for a Semilinear Elliptic Equation |
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| Authors: | Soohyun BaeTong Keun Chang Dae Hyeon Pahk |
| Institution: | Department of Mathematics and Natural Science Research Institute, Yonsei University, Seoul, 120-749, Republic of Korea |
| 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. |
| Keywords: | semilinear elliptic equations positive solutions asymptotic behavior infinite multiplicity |
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