Two solutions for fractional p-Laplacian inclusions under nonresonance
Copyright policy )Two solutions for fractional p-Laplacian inclusions under nonresonance
We study a pseudo-differential inclusion driven by the fractional p-Laplacian operator and involving a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity. Using variational methods based on nonsmooth critical point theory (Clarke's subdifferential), we establish existence of at least two constant sign solutions (one positive, the other negative), enjoying Holder regularity.
published
- University of Cagliari Italy
- University of Aveiro Portugal
Differential inclusion, nonsmooth analysis, Nonsmooth analysis, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Fractional p-Laplacian, Fractional partial differential equations, Fractional p-Laplacian; Differential inclusion; Nonsmooth analysis; Critical point theory, fractional \(p\)-Laplacian, critical point theory, Critical point theory, QA1-939, differential inclusion, Quasilinear elliptic equations with \(p\)-Laplacian, Mathematics
Differential inclusion, nonsmooth analysis, Nonsmooth analysis, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Fractional p-Laplacian, Fractional partial differential equations, Fractional p-Laplacian; Differential inclusion; Nonsmooth analysis; Critical point theory, fractional \(p\)-Laplacian, critical point theory, Critical point theory, QA1-939, differential inclusion, Quasilinear elliptic equations with \(p\)-Laplacian, Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!