For isoparametric functions on spheres, the authors construct infinite nodal solutions to semilinear Yamabe-type equations for subcritical, critical, and supercritical exponents, with blow-up on focal submanifolds.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Supercritical elliptic problems on the round sphere and nodal solutions to the Yamabe problem in projective spaces
For isoparametric functions on spheres, the authors construct infinite nodal solutions to semilinear Yamabe-type equations for subcritical, critical, and supercritical exponents, with blow-up on focal submanifolds.