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

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• 作者：Giovanni Molica Bisci ; Vicen?iu D. R?dulescu…
• 关键词：Clifford analysis ; A ; Dirac equation ; variable exponent ; Caccioppoli estimates ; Hodge ; type decomposition
• 刊名：Advances in Applied Clifford Algebras
• 出版年：2015
• 出版时间：June 2015
• 年：2015
• 卷：25
• 期：2
• 页码：385-402
• 全文大小：748 KB
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• 作者单位：Giovanni Molica Bisci (1)
  Vicen?iu D. R?dulescu (2)
  Binlin Zhang (3)
  
  1. Dipartimento P.A.U., Università degli Studi Mediterranea di Reggio Calabria, Salita Melissari -Feo di Vito, 89124, Reggio Calabria, Italy
  2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
  3. Department of Mathematics, Heilongjiang Institute of Technology, 150050, Harbin, China
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Mathematical Methods in Physics
  Mathematical and Computational Physics
  Applications of Mathematics
  Physics
  
• 出版者：Birkh盲user Basel
• ISSN：1661-4909

文摘

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.