Large energy entire solutions for the Yamabe type problem of polyharmonic operator

DOI10.1016/J.JDE.2012.08.038zbMath1310.35047OpenAlexW1968024787MaRDI QIDQ1759798

Xianqiang Yang

Publication date: 22 November 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.08.038

zbMATH Keywords

critical exponentspolyharmonic equationsinfinitely many non-radial solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45)

Related Items (6)

Infinitely many peak solutions for a biharmonic equation involving critical exponent ⋮ Sign-changing bubble towers for asymptotically critical elliptic equations on Riemannian manifolds ⋮ Nondegeneracy of the bubble solutions for critical equations involving the polyharmonic operator ⋮ A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem ⋮ Classification of finite Morse index solutions to the polyharmonic Hénon equation ⋮ Nonexistence of positive solutions for polyharmonic systems in \(\mathbb{R}^N_+\)

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