Asymptotic behavior of boundary blow-up solutions to elliptic equations

DOI10.1007/s00033-015-0606-yzbMath1339.35114OpenAlexW2316514650MaRDI QIDQ286418

Shuibo Huang

Publication date: 20 May 2016

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0606-y

zbMATH Keywords

asymptotic behaviorboundary blow-up solutionsKaramata regular variation theorysecond-order estimate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44)

Related Items (7)

Asymptotic behavior of entire large solutions to semilinear elliptic equations ⋮ Uniqueness of large positive solutions ⋮ Existence and asymptotic behavior of strictly convex solutions for singular \(k\)-Hessian equations with nonlinear gradient terms ⋮ Strictly convex solutions for singular Monge-Ampère equations with nonlinear gradient terms: existence and boundary asymptotic behavior ⋮ Second-order boundary estimates for large positive solutions to an elliptic system of competitive type ⋮ Refined asymptotic behavior and uniqueness of large solutions to a quasilinear elliptic equation in a borderline case ⋮ Exact boundary behavior of large solutions to semilinear elliptic equations with a nonlinear gradient term

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