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.. - In: OPUSCULA MATHEMATICA. ROCZNIK AKADEMIA GÓRNICZO-HUTNICZA IM. STANISłAWA STASZICA. - ISSN 1232-9274. - 40:1(2020), pp. 93-110. [10.7494/OpMath.2020.40.1.93]
Fractional p&q-Laplacian problems with potentials vanishing at infinity
Isernia T.
2020-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
