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Transition-layer solutions of quasilinear elliptic boundary blow-up problems and dirichlet problems

✍ Scribed by Zong Ming Guo; Yao Yong Yan


Book ID
106279879
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2011
Tongue
English
Weight
272 KB
Volume
27
Category
Article
ISSN
1439-7617

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Solutions with boundary-layers and spike
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The structure of nontrivial nonnegative solutions to singularly perturbed quasilinear Dirichlet problems of the form It is shown that there are many nontrivial nonnegative solutions with spike-layers. Moreover, the measure of each spike-layer is estimated as β†’ 0 + . These results are applied to the