3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.AP2023
Refinement of asymptotic behavior of the eigenvalues for the linearized Liouville-Gel'fand Problem
Hiroshi Ohtsuka, Tomohiko Sato
We determine the second term of the asymptotic expansions for the first m eigenvalues and eigenfunctions of the linearized Liouville-Gel'fand problem associated to solutions which…
math.AP2013
On the number of peaks of the eigenfunctions of the linearized Gel'fand problem
Francesca Gladiali, Massimo Grossi, Hiroshi Ohtsuka
We derive a second order estimate for the first m eigenvalues and eigenfunctions of the linearized Gel'fand problem associated to solutions which blow-up at m points. This allows u…
math.AP2012★ 3 cited
Morse indices of multiple blow-up solutions to the two-dimensional Gel'fand problem
Francesca Gladiali, Massimo Grossi, Hiroshi Ohtsuka +1
Blow-up solutions to the two-dimensional Gel'fand problem are studied. It is known that the location of the blow-up points of these solutions is related to a Hamiltonian function i…