Premium
Structure of nontrivial nonnegative solutions of singularly perturbed quasilinear Dirichlet problems
Author(s) -
Zhang Zhengce,
Guo Zongming
Publication year - 2007
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510568
Subject(s) - mathematics , dirichlet distribution , class (philosophy) , measure (data warehouse) , energy (signal processing) , mathematical analysis , pure mathematics , statistics , computer science , database , artificial intelligence , boundary value problem
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 ε tends to 0. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)