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Minimax Theory and its Applications 06 (2021), No. 2, 311--320
Copyright Heldermann Verlag 2021



Some Remarks on the Mixed Problem of Elastostatics in Exterior Domains

Vincenzo Coscia
Dipartimento di Matematica e Informatica, UniversitÓ degli Studi di Ferrara, Ferrara, Italy
vincenzo.coscia@unife.it

Adele Ferone
Dipartimento di Matematica e Fisica, UniversitÓ della Campania, Caserta, Italy
adele.ferone@unicampania.it

Alfonsina Tartaglione
Dipartimento di Matematica e Fisica, UniversitÓ della Campania, Caserta, Italy
alfonsina.tartaglione@unicampania.it



We consider a mixed boundary problem for inhomogeneous linear elastostatics in a three-dimensional exterior Lipschitz domain. We prove that it has a unique variational solution u vanishing at infinity with a rate depending on the elasticity tensor and/or suitable assumptions on the boundary data.

Keywords: Boundary value problems, linear elasticity, exterior domains, asymptotic behavior.

MSC: 74B05, 35J47, 35J57; 35B40.

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