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.
|Number of pages||12|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 2011 Nov|
- Energy integral
- Optimization problems
ASJC Scopus subject areas
- Applied Mathematics