Three solutions for a perturbed Dirichlet problem
β Scribed by Giuseppe Cordaro; Giuseppe Rao
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 184 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
## Dedicated to the memory of Fritz John β¦Ξ΅ (|βu| 2 + u 2 ). A solution of (0.2) corresponds to a positive function u β H 1 0 (β¦ Ξ΅ ) that is a stationary point of
The aim of this note is to establish the existence of three solutions for a perturbed twopoint boundary value problem depending of two real parameters. The approach is based on variational methods.
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