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On higher-dimensional contrast structure of singularly perturbed Dirichlet problem

✍ Scribed by MingKang Ni; ZhiMing Wang


Book ID
118813937
Publisher
SP Science China Press
Year
2012
Tongue
English
Weight
221 KB
Volume
55
Category
Article
ISSN
1674-7283

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Structure of nontrivial nonnegative solu
✍ Zhengce Zhang; Zongming Guo πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 238 KB

## Abstract We study structure of nontrivial nonnegative solutions for a class of singularly perturbed quasilinear Dirichlet problems. It is shown that there are infinitely many least‐energy solutions and they are spike‐layer solutions. Moreover, the measure of each spike‐layer is estimated as the