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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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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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