Construction of solutions for the polyharmonic equation via local Pohozaev identities

DOI10.1007/s00526-019-1569-1zbMath1421.35081OpenAlexW2953563774WikidataQ115387165 ScholiaQ115387165MaRDI QIDQ2311081

Yuxia Guo, Jianjun Nie, Ting Liu

Publication date: 10 July 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-019-1569-1

zbMATH Keywords

critical exponentinfinitely many solutionspolyharmonic equations

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic equations (35J30) Positive solutions to PDEs (35B09)

Related Items (7)

The prescribed scalar curvature problem for polyharmonic operator ⋮ Nontrivial solutions for the polyharmonic problem: existence, multiplicity and uniqueness ⋮ On the Neumann problem for fractional semilinear elliptic equations arising from Keller–Segel model ⋮ Nondegeneracy of the bubble solutions for critical equations involving the polyharmonic operator ⋮ Large number of bubble solutions for a fractional elliptic equation with almost critical exponents ⋮ Large energy bubble solutions for Schrödinger equation with supercritical growth ⋮ Solutions for fractional Schrödinger equation involving critical exponent via local Pohozaev identities

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