In this paper we prove the existence of a positive and a negative ground state weak solution for the following class of fractional p&q-Laplacian problems (Equation Presented) where s ∈ (0, 1), 1 < p < q < N/s, V : ℝN → ℝ and K : ℝN → R are continuous, positive functions, allowed for vanishing behavior at infinity, f is a continuous function with quasicritical growth and the leading operator (-Δ)s/t, with t ∈ {p, q}, is the fractional t-Laplacian operator.

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

Isernia T.
2020

Abstract

In this paper we prove the existence of a positive and a negative ground state weak solution for the following class of fractional p&q-Laplacian problems (Equation Presented) where s ∈ (0, 1), 1 < p < q < N/s, V : ℝN → ℝ and K : ℝN → R are continuous, positive functions, allowed for vanishing behavior at infinity, f is a continuous function with quasicritical growth and the leading operator (-Δ)s/t, with t ∈ {p, q}, is the fractional t-Laplacian operator.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11566/289872
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