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Fractional p&q-Laplacian problems with potentials vanishing at infinity

Isernia Teresa

Opuscula Mathematica

2020

Vol. 40, no. 1

93--110

In this paper we prove the existence of a positive and a negative ground state weak solution for the following class of fractional p&g-Laplacian problems [formula] where [formula]and [formula] are continuous, positive functions, allowed for vanishing behavior at infinity, ƒ is a continuous function with quasicritical growth and the leading operator [formula] , with t ∈ {p, q}, is the fractional t-Laplacian operator.