Research article

On the variable exponential fractional Sobolev space Ws(·),p(·)

  • Received: 27 May 2020 Accepted: 29 July 2020 Published: 06 August 2020
  • MSC : 46B20, 46E35, 46B50

  • In this paper a new kind of variable exponential fractional Sobolev spaces is introduced. For this kind of spaces, some basic properties, such as separability, reflexivity, strict convexity and denseness, are established. At last as an application the existence of solutions for so called s(·)-p(·)- Laplacian equations is discussed.

    Citation: Haikun Liu, Yongqiang Fu. On the variable exponential fractional Sobolev space Ws(·),p(·)[J]. AIMS Mathematics, 2020, 5(6): 6261-6276. doi: 10.3934/math.2020403

    Related Papers:

  • In this paper a new kind of variable exponential fractional Sobolev spaces is introduced. For this kind of spaces, some basic properties, such as separability, reflexivity, strict convexity and denseness, are established. At last as an application the existence of solutions for so called s(·)-p(·)- Laplacian equations is discussed.


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