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5 papers · 2 filters
Strong maximum principles for fractional Laplacians
Roberta Musina, Alexander I. Nazarov
We give a unified approach to strong maximum principles for a large class of nonlocal operators of the order , that includes the Dirichlet, the Neumann Restricted (or Re…
A generalized Korn inequality and strong unique continuation for the Reissner-Mindlin plate system
Antonino Morassi, Edi Rosset, Sergio Vessella
We prove constructive estimates for elastic plates modelled by the Reissner-Mindlin theory and made by general anisotropic material. Namely, we obtain a generalized Korn inequality…
Multiple positive solutions to elliptic boundary blow-up problems
Alberto Boscaggin, Walter Dambrosio, Duccio Papini
We prove the existence of multiple positive radial solutions to the sign-indefinite elliptic boundary blow-up problem \[ \left\{\begin{array}{ll} Δu + \bigl(a^+(\vert x \vert) - μa…
A variational model for anisotropic and naturally twisted ribbons
Lorenzo Freddi, Peter Hornung, Maria Giovanna Mora +1
We consider thin plates whose energy density is a quadratic function of the difference between the second fundamental form of the deformed configuration and a "natural" curvature t…
Variational inequalities for the spectral fractional Laplacian
Roberta Musina, Alexander I. Nazarov
In this paper we study the obstacle problems for the Navier (spectral) fractional Laplacian of order , in a bounded domain $Ω\subset\mathbb R^n…