The paper is concerned with radial solutions to the elastic-plastic torsion problem, assuming the free term to belong to L-p (Omega). 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 is an element of W-2,W-p (Omega) and the Lagrange multiplier (mu) over bar is an element of L-p (Omega).
Radial solutions and free boundary of the elastic-plastic torsion problem
PUGLISI, DANIELE
2018-01-01
Abstract
The paper is concerned with radial solutions to the elastic-plastic torsion problem, assuming the free term to belong to L-p (Omega). 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 is an element of W-2,W-p (Omega) and the Lagrange multiplier (mu) over bar is an element of L-p (Omega).File in questo prodotto:
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