Journal
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Volume 27, Issue 3, Pages 311-320Publisher
SPRINGER
DOI: 10.1007/s00526-005-0355-4
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Using simple facts from harmonic analysis, namely Bernstein inequality and Plansherel isometry, we prove that the pseudo differential equation Delta(alpha)u + Vu = 0 improves the Sobolev regularity of solutions provided the potential V is integrable with the critical power n/2 alpha > 1.
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