Classification of positive smooth solutions to third-order PDEs involving fractional Laplacians
Copyright policy )Classification of positive smooth solutions to third-order PDEs involving fractional Laplacians
This authors study a third-order conformal invariant equation with critical nonlinearity and a third-order critical static Hartree equation with nonlocal nonlinearity. By showing the equivalence between PDE and a integral equation, using some results in [\textit{W. Chen} et al., Commun. Pure Appl. Math. 59, No. 3, 330--343 (2006; Zbl 1093.45001)], the authors establish the classification of positive smooth solutions to the third-ordor equation under assumptions which are similar to or weaker than those in some relative references.
- Beihang University China (People's Republic of)
- Beihua University China (People's Republic of)
radial symmetry, positive smooth solutions, odd order, equivalence, uniqueness, Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian, Fractional partial differential equations, fractional Laplacians, Symmetries, invariants, etc. in context of PDEs
radial symmetry, positive smooth solutions, odd order, equivalence, uniqueness, Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian, Fractional partial differential equations, fractional Laplacians, Symmetries, invariants, etc. in context of PDEs
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).7 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!