On Spike Solutions of Singularly Perturbed Semilinear Dirichlet Problem
β 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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π SIMILAR VOLUMES
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
## 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 leastβenergy solutions and they are spikeβlayer solutions. Moreover, the measure of each spikeβlayer is estimated as the