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A note on fractional $$p$$-Laplacian problems with singular weights. (English) Zbl 1366.35105
Summary: We study a class of fractional $$p$$-Laplacian problems with weights which are possibly singular on the boundary of the domain. We provide existence and multiplicity results as well as characterizations of critical groups and related applications.

##### MSC:
 35P15 Estimates of eigenvalues in context of PDEs 35P30 Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs 35R11 Fractional partial differential equations
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##### References:
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