Abstract

The paper is concerned with radial solutions to the elastic-plastic torsion problem, assuming the free term to belong to Lp(Ω)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∈W2,p(Ω)u \in W^{2,p}(\Omega) and the Lagrange multiplier μ‾∈Lp(Ω)\overline \mu \in L^p(\Omega).

Author information

Contact details are reproduced from the original publication and may be historical.

Sofia Giuffrè

D.I.I.E.S., University of Reggio Calabria, Località Feo di Vito, 89122 Reggio Calabria, Italy

sofia.giuffre@unirc.it

Aldo Pratelli

Department Mathematik, University of Erlangen, Cauerstr. 11, 91058 Erlangen, Germany

pratelli@math.fau.de

Daniele Puglisi

Department of Mathematics and Computer Sciences, University of Catania, Viale A. Doria 6, 95125 Catania, Italy

dpuglisi@dmi.unict.it

Keywords

  • Elastic-plastic torsion
  • radial solutions
  • Lagrange multipliers

Mathematics Subject Classification

35B06, 35R35

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Suggested citation

S. Giuffrè, A. Pratelli, D. Puglisi. “Radial Solutions and Free Boundary of the Elastic-Plastic Torsion Problem.” Journal of Convex Analysis 25 (2018), No. 2, 529–543. https://doi.org/10.68381/jca25034

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Published by Heldermann Verlag, 2018. Rights now held by Banach Press LLC.