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On Spike Solutions of Singularly Perturbed Semilinear Dirichlet Problem

✍ Scribed by J.D. Jang


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
892 KB
Volume
114
Category
Article
ISSN
0022-0396

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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