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Two Linear Noncoercive Dirichlet Problems in Duality

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Abstract

We give a self-contained and simple approach to prove the existence and uniqueness of a weak solution to a linear elliptic boundary value problem with drift in divergence form. Taking advantage of the method of continuity, we also deal with the relative dual problem.

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Authors and Affiliations

  1. Dipartimento di Matematica, Sapienza Università di Roma, Rome, Italy

    Lucio Boccardo & Stefano Buccheri

  2. Dipartimento di Matematica, Università di Catania, Catania, Italy

    Giuseppa Rita Cirmi

Authors
  1. Lucio Boccardo
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  2. Stefano Buccheri
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  3. Giuseppa Rita Cirmi
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Correspondence to Lucio Boccardo.

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Boccardo, L., Buccheri, S. & Cirmi, G.R. Two Linear Noncoercive Dirichlet Problems in Duality. Milan J. Math. 86, 97–104 (2018). https://doi.org/10.1007/s00032-018-0281-5

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  • DOI: https://doi.org/10.1007/s00032-018-0281-5

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