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.
|Journal||Electronic Journal of Differential Equations|
|Publication status||Published - 2021|
- Optimal solutions
- Optimal values
- Orlicz spaces
- Tangent cone
ASJC Scopus subject areas