Wolff Potential Estimates for Elliptic Equations with Nonstandard Growth and Applications

نویسندگان

  • TEEMU LUKKARI
  • NIKO MAROLA
  • Emil Aaltonen
چکیده

We study superharmonic functions related to elliptic equations with structural conditions involving a variable growth exponent. We establish pointwise estimates for such functions in terms of a Wolff type potential. We apply these estimates to prove a variable exponent version of the Hedberg–Wolff theorem on the dual of Sobolev spaces with zero boundary values.

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تاریخ انتشار 2009