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Multi-bump positive solutions for a nonlinear elliptic problem in expanding tubular domains |
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| Authors: | Jaeyoung Byeon Kazunaga Tanaka |
| Affiliation: | 1. Department of Mathematical Sciences, KAIST, 291 Daehak-ro, Yuseong-gu, Daejeon, 305-701, Republic of Korea 2. Department of Mathematics, School of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo, 169-8555, Japan |
| Abstract: | In this paper we study the existence of multi-bump positive solutions of the following nonlinear elliptic problem: $$begin{aligned} -Delta u=u^p quad text{ in }; Omega _t,quad u=0 quad text{ on }; partial Omega _t. end{aligned}$$ Here $1 |
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