Abstract
A nonnegative potential V: ℝv→ℝ is constructed for which V ∉ L q (G) for any nonempty open G⊂→v, q>0, and for which nevertheless W sup1inf2 ∩ Q(V) is dense in W sup1inf2 , i.e., is a form core for −1/2Δ in L 2.
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Stollmann, P., Voigt, J. A regular potential which is nowhere in L 1 . Lett Math Phys 9, 227–230 (1985). https://doi.org/10.1007/BF00402834
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DOI: https://doi.org/10.1007/BF00402834