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Journal of Elliptic and Parabolic Equations

, Volume 5, Issue 2, pp 349–358 | Cite as

Uniqueness result for a class of singular elliptic problems in two-component domains

  • Patrizia Donato
  • Federica RaimondiEmail author
Article

Abstract

In this work we prove a uniqueness result for a quasilinear singular elliptic problem posed in a two-component domain. We prescribe a Dirichlet condition on the exterior boundary, while we prescribe a continuous flux and a jump of the solution proportional to the flux on the interface.

Keywords

Uniqueness Quasilinear elliptic equations Singular equations Two-component domains Jump boundary conditions 

Mathematics Subject Classification

35J62 35J75 35A02 

Notes

Acknowledgements

The results of this paper were presented in the International Conference on Elliptic and Parabolic Problems, held in Gaeta, 20–25 may 2019. The authors thank the referee for the useful comments and helpful suggestions.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

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Copyright information

© Orthogonal Publisher and Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Laboratoire de Mathématiques Raphaël Salem, CNRS, UMR 6085Université de Rouen NormandieSaint-Étienne du RouvrayFrance

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