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Existence of Stationary States for A-Dirac Equations with Variable Growth

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Abstract

In this paper, using a Hodge-type decomposition of variable exponent Lebesgue spaces of Clifford-valued functions and variational methods, we study the properties of weak solutions to the homogeneous and nonhomogeneous A-Dirac equations with variable growth in the setting of variable exponent Sobolev spaces of Clifford-valued functions.

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Authors and Affiliations

  1. Dipartimento P.A.U., Università degli Studi Mediterranea di Reggio Calabria, Salita Melissari – Feo di Vito, 89124, Reggio Calabria, Italy

    Giovanni Molica Bisci

  2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

    Vicenţiu D. Rădulescu

  3. Department of Mathematics, Heilongjiang Institute of Technology, 150050, Harbin, China

    Binlin Zhang

Authors
  1. Giovanni Molica Bisci
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  2. Vicenţiu D. Rădulescu
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  3. Binlin Zhang
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Correspondence to Vicenţiu D. Rădulescu.

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Molica Bisci, G., Rădulescu, V.D. & Zhang, B. Existence of Stationary States for A-Dirac Equations with Variable Growth. Adv. Appl. Clifford Algebras 25, 385–402 (2015). https://doi.org/10.1007/s00006-014-0512-y

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  • DOI: https://doi.org/10.1007/s00006-014-0512-y

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