## 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
On the shape of the nonnegative solutions to a singularly perturbed quasilinear Dirichlet problem
β Scribed by Zongming Guo
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 244 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study an equivalent form of the Dirichlet problem for a quasilinear singularly perturbed second order system, which is a singular singularly perturbed boundary value problem. In this way, we have not only eliminated the usual assumption of the existence of a vector potential function, but also pr
In this paper, we study the ''multi-layer'' phenomenon of the Dirichlet problem for a singular singularly perturbed second order vector system dz 2 rdt 2 s Ε½ . Ε½ . F z, t dzrdt q g z, t under the key assumption that the corresponding reduced system is a differential algebraic system of index 1. The