Abstract
This article concerns a minimization problem related to an elliptic equation in Orlicz-Sobolev spaces. We prove existence and uniqueness of optimal solutions and show that they are monotone and stable. Furthermore, by employing a characterization of the tangent cones in L∞ spaces, we derive some qualitative properties of the optimal solutions. We also derive some results regarding the optimal values.
| Original language | English |
|---|---|
| Article number | 38 |
| Journal | Electronic Journal of Differential Equations |
| Volume | 2021 |
| Publication status | Published - 2021 |
Free Keywords
- Existence
- Minimization
- Optimal solutions
- Optimal values
- Orlicz spaces
- Tangent cone
- Uniqueness
ASJC Scopus subject areas
- Analysis