Abstract
This paper is concerned with maximization and minimization problems of the energy integral associated to p-Laplace equations depending on functions that belong to a class of rearrangements. We prove existence and uniqueness results, and present some features of optimal solutions. The radial case is discussed in detail. We also prove a result of uniqueness for a class of p-Laplace equations under non-standard assumptions.
Original language | English |
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Pages (from-to) | 5554-5565 |
Number of pages | 12 |
Journal | Nonlinear Analysis, Theory, Methods and Applications |
Volume | 74 |
Issue number | 16 |
DOIs | |
Publication status | Published - 2011 Nov |
Externally published | Yes |
Keywords
- Energy integral
- Optimization problems
- Rearrangements
- Uniqueness
- p-Laplacian
ASJC Scopus subject areas
- Analysis
- Applied Mathematics