## Dedicated to the memory of Fritz John โฆฮต (|โu| 2 + u 2 ). A solution of (0.2) corresponds to a positive function u โ H 1 0 (โฆ ฮต ) that is a stationary point of
The Dirichlet problem for singularly perturbed quasilinear elliptic equations
โ Scribed by Walter G Kelley
- Book ID
- 107791990
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 768 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
๐ 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
By means of a penalization scheme due to del Pino and Felmer, we prove the existence of single-peaked solutions for a class of singularly perturbed quasilinear elliptic equations associated with functionals which lack of smoothness. We do not require neither uniqueness assumptions on the limiting au