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Unsolved problems connected with the Wiener criterion. (English) Zbl 0883.35050

Jerison, David (ed.) et al., The legacy of Norbert Wiener: a centennial symposium. In honor of the 100th anniversary of Norbert Wiener’s birth, October 8-14, 1994, Cambridge, MA, USA. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 60, 199-208 (1997).
This paper lists a series of unsolved problems connected with the Wiener criterion. These open questions are concerned with conditions for the continuity at the boundary of solutions to Dirichlet problems for elliptic equations and systems. This paper may be very helpful for those who are interested in these problems.
For the entire collection see [Zbl 0869.00026].

MSC:

35J67 Boundary values of solutions to elliptic equations and elliptic systems
35C15 Integral representations of solutions to PDEs
31C15 Potentials and capacities on other spaces
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