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Some Optimization Problems for p-Laplacian Type Equations.
- Source :
- Applied Mathematics & Optimization; Jun2009, Vol. 59 Issue 3, p365-381, 17p
- Publication Year :
- 2009
-
Abstract
- In this paper we study some optimization problems for nonlinear elastic membranes. More precisely, we consider the problem of optimizing the cost functional $\mathcal {J}(u)=\int_{\partial\Omega}f(x)u\,\mathrm {d}\mathcal {H}^{N-1}$ over some admissible class of loads f where u is the (unique) solution to the problem −Δ<subscript> p</subscript> u+| u|<superscript> p−2</superscript> u=0 in Ω with | ∇ u|<superscript> p−2</superscript> u<subscript> ν</subscript>= f on ∂Ω. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00954616
- Volume :
- 59
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Applied Mathematics & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 37042722
- Full Text :
- https://doi.org/10.1007/s00245-008-9058-5