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4 papers · 2 filters
On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate
Elvise Berchio, Davide Buoso, Filippo Gazzola
We consider a partially hinged rectangular plate and its normal modes. There are two families of modes, longitudinal and torsional. We study the variation of the corresponding eige…
On Coron's problem for weakly coupled elliptic systems
Angela Pistoia, Nicola Soave
We consider the following critical weakly coupled elliptic system \[ \begin{cases} -Δu_i = μ_i |u_i|^{2^*-2}u_i + \sum_{j \neq i} β_{ij} |u_j|^{\frac{2^*}{2}} |u_i|^{\frac{2^*-4}{2…
Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds
Dario D. Monticelli, Fabio Punzo, Berardino Sciunzi
We prove nonexistence of nontrivial, possibly sign changing, stable solutions to a class of quasilinear elliptic equations with a potential on Riemannian manifolds, under suitable…
Steady states of elastically-coupled extensible double-beam systems
Filippo Dell'Oro, Claudio Giorgi, Vittorino Pata
Given and , we analyze an abstract version of the nonlinear stationary model in dimensionless form $$\begin{cases} u"" - \Big(β+ \varrho\int_0^1 |u'(s…