Abstract
This paper is concerned with an optimization problem related to the pseudo p-Laplacian eigenproblem, with Robin boundary conditions. The principal eigenvalue is minimized over a rearrangement class generated by a fixed positive function. Existence and optimality condition are proved. The popular case where the generator is a characteristic function is also considered. In this case the method of domain derivative is used to capture qualitative features of the optimal solutions.
| Original language | English |
|---|---|
| Article number | 1250127 |
| Journal | International Journal of Mathematics |
| Volume | 23 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - Dec 2012 |
| Externally published | Yes |
Keywords
- 35J25
- 49K30
- 74K15
- Pseudo p-Laplacian operator
- domain derivative 47A75
- existence
- optimal condition
- optimization
- rearrangement
ASJC Scopus subject areas
- General Mathematics
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Emamizadeh, B., & Zivari-Rezapour, M. (2012). Optimization of the principal eigenvalue of the pseudo p-Laplacian operator with robin boundary conditions. International Journal of Mathematics, 23(12), Article 1250127. https://doi.org/10.1142/S0129167X12501273