Hardy-Sobolev inequalities in half-space and some semilinear elliptic equations with singular coefficients

DOI10.1016/j.na.2006.02.032zbMath1387.35209OpenAlexW1977998530MaRDI QIDQ858656

Shaowei Chen, Shu-Jie Li

Publication date: 11 January 2007

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.2006.02.032

zbMATH Keywords

hyperbolic spacesemilinear equationsPalais-Smale sequenceHardy-Sobolev inequalities

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (9)

On a sharp weighted Sobolev inequality on the upper half-space and its applications ⋮ \(p/q\)-type criteria for stability analysis in higher order Cohen-Grossberg-type bidirectional associative memory neural networks with time delays ⋮ A sharp Sobolev inequality and its applications to an indefinite elliptic equation with Neumann boundary conditions ⋮ Hardy-Sobolev inequalities with distance to the boundary weight functions ⋮ Results on entire solutions for a degenerate critical elliptic equation with anisotropic coefficients ⋮ On singular elliptic boundary value problems via a harmonic analysis approach ⋮ A Liouville type result for Schrödinger equation on half-spaces ⋮ Exponential lag synchronization for neural networks with mixed delays via periodically intermittent control ⋮ Output-feedback lag-synchronization of time-delayed chaotic systems in the presence of external disturbances subjected to input nonlinearity

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