Remarks on: ``Existence result for an elliptic equation involving critical exponent in three dimensional domains

DOI10.1016/j.rinam.2021.100141zbMath1472.35197OpenAlexW3133076554MaRDI QIDQ2043825

Yanyan Li

Publication date: 3 August 2021

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2021.100141

zbMATH Keywords

Dirichlet conditionYamabe-type equationa counterexample

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• A perturbation result for a critical elliptic equation with zero Dirichlet boundary condition
• The scalar curvature problem on four-dimensional manifolds
• New type of solutions to a slightly subcritical Hénon type problem on general domains
• Prescribing the Scalar Curvature Problem on Three and Four Manifolds
• Existence result for an elliptic equation involving critical exponent in three-dimensional domains
• Prescribing Scalar Curvatures on n-dimensional Manifolds, 4 ≤ n ≤ 6

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