Peer-Reviewed Journal Details
Mandatory Fields
Tom Carroll and Jesse Ratzkin;
2011
July
Journal of Mathematical Analysis and Applications
Interpolating between torsional rigidity and principal frequency
Published
WOS: 11 ()
Optional Fields
379
2
818
826
A one-parameter family of variational problems is examined that interpolates between torsional rigidity and the first Dirichlet eigenvalue of the Laplacian. The associated partial differential equation is derived, which is shown to have positive solutions in many cases. Results are obtained regarding extremal domains and regarding variations of the domain or the parameter.
10.1016/j.jmaa.2011.02.004
Grant Details