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This paper concerns an optimization problem related to the Poisson equation for the p-Laplace operator, subject to homogeneous Dirichlet boundary conditions. Physically the Poisson equation models, for example, the deformation of a nonlinear elastic membrane which is fixed along the boundary, under load. A particular situation where the load is represented… (More)

- Kenneth S. Berenhaut, Colin Adams, +59 authors Michael E. Zieve
- 2013

Colin Adams John V. Baxley Arthur T. Benjamin Martin Bohner Nigel Boston Amarjit S. Budhiraja Pietro Cerone Scott Chapman Jem N. Corcoran Toka Diagana Michael Dorff Sever S. Dragomir Behrouz Emamizadeh Joel Foisy Errin W. Fulp Joseph Gallian Stephan R. Garcia Anant Godbole Ron Gould Andrew Granville Jerrold Griggs Sat Gupta Jim Haglund Johnny Henderson Jim… (More)

In this paper we introduce a boundary value problem involving powers of the p-Laplace operator. We will then prove a variant of Talenti inequality which shows that the Schwarz symmetrization of the solution of the boundary value problem is majorized by the solution of the appropriately symmetrized version of the problem. The case of equality is also… (More)

- Kenneth S. Berenhaut, Colin Adams, +59 authors Michael E. Zieve
- 2013

Colin Adams John V. Baxley Arthur T. Benjamin Martin Bohner Nigel Boston Amarjit S. Budhiraja Pietro Cerone Scott Chapman Jem N. Corcoran Toka Diagana Michael Dorff Sever S. Dragomir Behrouz Emamizadeh Joel Foisy Errin W. Fulp Joseph Gallian Stephan R. Garcia Anant Godbole Ron Gould Andrew Granville Jerrold Griggs Sat Gupta Jim Haglund Johnny Henderson Jim… (More)

In this paper we will discuss three different problems which share the same conclusions. In the first one we revisit the well known Faber–Krahn inequality for the principal eigenvalue of the p-Laplace operator with zero homogeneous Dirichlet boundary conditions. Motivated by Chatelain, Choulli, and Henrot, 1996, we show in case the equality holds in the… (More)

- Behrouz Emamizadeh
- Appl. Math. Lett.
- 2005

In this note we introduce a variational problem with respect to an integrable fuzzy set f . The energy functional is maximized over a deleted σ -algebra. Using the decreasing rearrangement of f we prove that the admissible set can be replaced by the more convenient set of cuts of f . Finally an special case is considered where the variational problem can be… (More)

- Yichen Liu, Behrouz Emamizadeh
- SIAM J. Control and Optimization
- 2017

This paper is devoted to some applications of a weighted symmetrization inequality related to a second order boundary value problem. We first interpret the inequality in the context of elastic membranes, and observe that it lends itself to make a comparison between the deflection of a membrane with a varying density with that of a membrane with a uniform… (More)

- Behrouz Emamizadeh, Amin Farjudian, Hayk Mikayelyan
- J. Optimization Theory and Applications
- 2017