Boundary blow-up and degenerate equations

DOI10.1016/j.jfa.2003.10.010zbMath1110.35020OpenAlexW2071936635MaRDI QIDQ1888363

Satyanad Kichenassamy

Publication date: 23 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.10.010

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45)

Related Items

Rigidity and gap theorems for Liouville's equation ⋮ Existence of solutions and boundary asymptotic behavior of \(p(r)\)-Laplacian equation multi-point boundary value problems ⋮ The Loewner-Nirenberg problem in singular domains ⋮ Existence and asymptotic behavior of boundary blow-up solutions for weighted \(p(x)\)-Laplacian equations with exponential nonlinearities ⋮ Boundary behaviors for Liouville's equation in planar singular domains ⋮ Existence, nonexistence and asymptotic behavior of boundary blow-up solutions to \(p(x)\)-Laplacian problems with singular coefficient ⋮ Solutions of singular elliptic equations via the oblique derivative problem ⋮ Optimal boundary regularity for nonlinear singular elliptic equations ⋮ A boundary blow-up elliptic problem with an inhomogeneous term ⋮ Gradient bounds for elliptic problems singular at the boundary ⋮ Boundary behavior in the Loewner-Nirenberg problem ⋮ On the boundary blow-up solutions of \(p(x)\)-Laplacian equations with singular coefficient ⋮ Asymptotic behavior and uniqueness of blow-up solutions of quasilinear elliptic equations

Cites Work

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• On solutions of δu=f(u)
• Harmonic Radius and Concentration of Energy; Hyperbolic Radius and Liouville’s Equations $\Delta U = e^U $ and $\Delta U = U^{\tfrac{{n + 2}}{{n - 2}}} $
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