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math.AP2024
Local multiplicity for fractional linear equations with Hardy potentials
Edoardo Mainini, Roberto Ognibene, Bruno Volzone
We exhibit existence of non-trivial solutions of some fractional linear Schrödinger equations which are radial and vanish at the origin. This is in stark contrast to what happens…
math.AP2024
Linearization of finite elasticity with surface tension
Martin KružÃk, Edoardo Mainini
We propose models in nonlinear elasticity for nonsimple materials that include surface energy terms. Additionally, we also discuss living surface loads on the boundary. We establis…