On the Hénon equation with a Neumann boundary condition: asymptotic profile of ground states

DOI10.1016/J.JFA.2018.03.015zbMath1436.35193OpenAlexW2800814972MaRDI QIDQ1744584

Jaeyoung Byeon, Zhi-Qiang Wang

Publication date: 23 April 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2018.03.015

zbMATH Keywords

Neumann boundary conditionlimiting profileleast energy solutionHénon equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (4)

On a sharp weighted Sobolev inequality on the upper half-space and its applications ⋮ The Hénon equation with a critical exponent under the Neumann boundary condition ⋮ A sharp Sobolev inequality and its applications to an indefinite elliptic equation with Neumann boundary conditions ⋮ Sharp asymptotic behavior of radial solutions of some planar semilinear elliptic problems

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