Abstract
AbstractIn this article, we study the eigenvalues of p‐fractional Hardy operator urn:x-wiley:0025584X:media:mana201800331:mana201800331-math-0001where , , , and Ω is an unbounded domain in with Lipschitz boundary containing 0. The weight function V may change sign and may have singular points. We also show that the least positive eigenvalue is simple and it is uniquely associated to a nonnegative eigenfunction. Moreover, we proved that there exists a sequence of eigenvalues as .
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