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Structure of nontrivial nonnegative solutions of singularly perturbed quasilinear Dirichlet problems

✍ Scribed by Zhengce Zhang; Zongming Guo

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
238 KB
Volume
280
Category
Article
ISSN
0025-584X

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✦ Synopsis

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 parameter Ξ΅ tends to 0. (Β© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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