A critical problem on the Hardy-Sobolev inequality in boundary singularity case

DOI10.1016/J.NA.2017.05.003zbMath1379.35134OpenAlexW2626643823MaRDI QIDQ2011504

Masato Hashizume

Publication date: 3 August 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2017.05.003

zbMATH Keywords

minimization problemNeumann problemHardy-Sobolev inequalityboundary singularity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61)

Cites Work

• Minimizing problems for the Hardy-Sobolev type inequality with the singularity on the boundary
• Asymptotic behavior of the least-energy solutions of a semilinear elliptic equation with the Hardy-Sobolev critical exponent
• Large amplitude stationary solutions to a chemotaxis system
• Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents
• Locating the peaks of least-energy solutions to a semilinear Neumann problem
• Characterization of concentration points and \(L^ \infty\)-estimates for solutions of a semilinear Neumann problem involving the critical Sobolev exponent
• Elliptic equations with critical Sobolev exponents in dimension 3
• Hardy-Sobolev critical elliptic equations with boundary singularities
• Least energy solutions of semilinear Neumann problems and asymptotics
• Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity
• On the Neumann problem with the Hardy-Sobolev potential
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Elliptic equations with critical growth and a large set of boundary singularities
• Concentration estimates for Emden-Fowler equations with boundary singularities and critical growth
• On the shape of least‐energy solutions to a semilinear Neumann problem
• Condensation of least-energy solutions: The effect of boundary conditions
• Semilinear Neumann problem in exterior domains

This page was built for publication: A critical problem on the Hardy-Sobolev inequality in boundary singularity case