On the Pohozaev identity for the fractional p$p$‐Laplacian operator in RN$\mathbb {R}^N$
Copyright policy )On the Pohozaev identity for the fractional p$p$‐Laplacian operator in RN$\mathbb {R}^N$
AbstractIn this paper, we show the existence of a nontrivial weak solution for a nonlinear problem involving the fractional ‐Laplacian operator and a Berestycki–Lions type nonlinearity. This solution satisfies a Pohozaev identity. Moreover, we prove that any sufficiently smooth solution fulfills the Pohozaev identity.
Variational methods applied to PDEs, Mathematics - Analysis of PDEs, existence of a nontrivial solution, FOS: Mathematics, Berestycki-Lions-type nonlinearity, Weak solutions to PDEs, Quasilinear elliptic equations with \(p\)-Laplacian, Fractional partial differential equations, Analysis of PDEs (math.AP)
Variational methods applied to PDEs, Mathematics - Analysis of PDEs, existence of a nontrivial solution, FOS: Mathematics, Berestycki-Lions-type nonlinearity, Weak solutions to PDEs, Quasilinear elliptic equations with \(p\)-Laplacian, Fractional partial differential equations, Analysis of PDEs (math.AP)
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).8 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.Top 10% 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.Top 10%
Citations provided by BIP!Popularity provided by BIP!