On Uniqueness of Boundary Blow-Up Solutions of a Class of Nonlinear Elliptic Equations

DOI10.1080/03605300601188748zbMath1153.35039arXiv0705.2287OpenAlexW2039636440MaRDI QIDQ5459772

Seick Kim, Hongjie Dong, Mikhail V. Safonov

Publication date: 29 April 2008

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.2287

zbMATH Keywords

uniquenessnonlinear elliptic equationsboundary blow-up

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items

Second order expansion for blowup solutions of semilinear elliptic problems ⋮ Large solutions of elliptic semilinear equations non-degenerate near the boundary ⋮ Existence and uniqueness of large solutions for a class of non-uniformly elliptic semilinear equations ⋮ Keller-Osserman type conditions for some elliptic problems with gradient terms ⋮ The second expansion of large solutions for semilinear elliptic equations ⋮ Boundary blow-up solutions to a class of degenerate elliptic equations ⋮ Blow-up rates of large solutions for elliptic equations ⋮ Exact boundary behavior of positive large solutions of a nonlinear Dirichlet problem ⋮ Boundary behavior of large solutions for semilinear elliptic equations with weights ⋮ Exact boundary behavior of large solutions to semilinear elliptic equations with a nonlinear gradient term ⋮ Uniqueness of positive solutions for a boundary blow-up problem ⋮ Asymptotic behavior and uniqueness of blow-up solutions of quasilinear elliptic equations ⋮ Large solutions of elliptic semilinear equations in the borderline case. an exhaustive and intrinsic point of view

Cites Work

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• Wiener regularity for large solutions of nonlinear equations
• Existence and uniqueness results for large solutions of general nonlinear elliptic equations
• Maximal solutions of semilinear elliptic equations with locally integrable forcing term
• On solutions of δu=f(u)

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