Optimization problems on general classes of rearrangements

✍ Scribed by F. Cuccu; G. Porru; S. Sakaguchi

• Book ID: 103849090
• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 252 KB
• Volume: 74
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2011.05.039

✦ Synopsis

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.