Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations II |
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Authors: | Thomas Bartsch Shuangjie Peng |
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Institution: | a Mathematisches Institut, Universität Giessen, Arndtstr. 2, 35392 Giessen, Germany b School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, PR China |
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Abstract: | We construct spike layered solutions for the semilinear elliptic equation −ε2Δu+V(x)u=K(x)up−1 on a domain Ω⊂RN which may be bounded or unbounded. The solutions concentrate simultaneously on a finite number of m-dimensional spheres in Ω. These spheres accumulate as ε→0 at a prescribed sphere in Ω whose location is determined by the potential functions V,K. |
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Keywords: | 35J65 35J60 35J25 |
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