Blow-up in exterior domains: existence and star-shapedness

DOI10.4171/ZAA/831zbMath0902.35041OpenAlexW1982273721MaRDI QIDQ1393105

Antonio Greco, Elisa Francini

Publication date: 2 December 1998

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/831

zbMATH Keywords

contractible domainsblow up at the boundarymaximum and comparison principles

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items (5)

Existence and starshapedness for the lane-emden equation ⋮ Starshaped sets ⋮ Second order estimates for boundary blowup solutions of quasilinear elliptic equations ⋮ Starshapedness of level sets of solutions to elliptic PDEs ⋮ Starshapedeness for fully non‐linear equations in Carnot groups

Cites Work

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• Asymptotic estimates and convexity of large solutions to semilinear elliptic equations
• Convexity of Solutions to Some Elliptic Partial Differential Equations
• On solutions of δu=f(u)
• Starshapedness of Level Sets for Solutions of Nonlinear Elliptic Equations
• On the existence of large solutions for equations of prescribed mean curvature
• Symmetry and multiplicity for nonlinear elliptic differential equations with boundary blow-up

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