76 citations · 363 across the 36 of their papers we have counts for
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math.AP2003
Oscillating minimizers of a fourth order problem invariant under scaling
R. Benguria, I. Catto, J. Dolbeault +1
By variational methods, we prove the inequality: $$ \int_{\mathbb{R}} u''{}^2 dx-\int_{\mathbb{R}} u'' u^2 dx\geq I \int_{\mathbb{R}} u^4 dx\quad \forall u\in L^4({\mathbb{R}}) {su…
math.AP2003★ 1 cited
Junction of elastic plates and beams (Preliminary version)
Antonio Gaudiello, Regis Monneau, Jacqueline Mossino +2
We consider the linearized elasticity system in a multidomain of the three dimensional space. This multidomain is the union of a horizontal plate, with fixed cross section and smal…