The paper is concerned with radial solutions to the elastic-plastic torsion problem, assuming the free term to belong to L^p(Ω). In particular, we obtain a necessary and sufficient condition in order that the plastic region exists and we characterize the free boundary. Moreover, we find the explicit radial solution u ∈ W^{2,p}(Ω) and the Lagrange multiplier μ ∈ L^p(Ω).

Radial solutions and free boundary of the elastic-plastic torsion problem

GIUFFRE', Sofia;
2018

Abstract

The paper is concerned with radial solutions to the elastic-plastic torsion problem, assuming the free term to belong to L^p(Ω). In particular, we obtain a necessary and sufficient condition in order that the plastic region exists and we characterize the free boundary. Moreover, we find the explicit radial solution u ∈ W^{2,p}(Ω) and the Lagrange multiplier μ ∈ L^p(Ω).
elastic-plastic torsion ; radial solutions; Lagrange multipliers
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12318/5831
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