Multiple solutions to singular fourth order elliptic equations on compact manifolds

DOI10.1080/17476933.2014.950257zbMath1331.58023arXiv1209.3764OpenAlexW2054924629MaRDI QIDQ3455407

Mohammed Benalili, Kamel Tahri

Publication date: 4 December 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3764

zbMATH Keywords

Hardy inequalityNehari manifoldSobolev's exponent growthsingular fourth order elliptic equations

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Weak solutions to PDEs (35D30) Higher-order elliptic equations (35J30) Singular elliptic equations (35J75)

Cites Work

• Nonlinear elliptic fourth order equations existence and multiplicity results
• On singular \(Q\)-curvature type equations
• Group representations arising from Lorentz conformal geometry
• Mountain pass critical points for Paneitz-Branson operators.
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Paneitz-type operators and applications
• Elliptic equations of fourth-order with critical exponents on compact Riemannian manifolds
• Critical exponents, critical dimensions and the biharmonic operator
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Compactness and global estimates for the geometric Paneitz equation in high dimensions
• Positive solutions for a fourth order equation invariant under isometries
• Coercivity and Struwe's compactness for Paneitz type operators with constant coefficients

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