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Spike-layered solutions of singularly perturbed quasilinear Dirichlet problems

✍ Scribed by Zhengce Zhang; Kaitai Li


Book ID
108345288
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
143 KB
Volume
283
Category
Article
ISSN
0022-247X

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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

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## 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

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