Uniqueness and layer analysis for boundary blow up solutions

DOI10.1016/j.matpur.2004.01.006zbMath1081.35032OpenAlexW2042474767MaRDI QIDQ1887193

Yihong Du, Zongming Guo

Publication date: 23 November 2004

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2004.01.006

zbMATH Keywords

UniquenessFlat coreBoundary blow up solutionLayer estimate

Mathematics Subject Classification ID

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

Related Items

Boundary layer and spike layer solutions for a bistable elliptic problem with generalized boundary conditions ⋮ Blow-up rates and uniqueness of entire large solutions to a semilinear elliptic equation with nonlinear convection term ⋮ Boundary blow-up quasilinear elliptic problems with nonlinear gradient terms ⋮ Boundary blow up solutions with a spike layer ⋮ Exact multiplicity for boundary blow-up solutions ⋮ Boundary blow-up elliptic problems with nonlinear gradient terms ⋮ Remarks on uniqueness of boundary blow-up solutions ⋮ Boundary blow-up solutions to fractional elliptic equations in a measure framework ⋮ Boundary blow-up solutions to nonlocal elliptic equations with gradient nonlinearity ⋮ A boundary blow-up problem with a nonlocal reaction ⋮ Transition-layer solutions of quasilinear elliptic boundary blow-up problems and Dirichlet problems ⋮ Existence of large solutions for a quasilinear elliptic problem via explosive sub-supersolutions ⋮ Structure of boundary blow-up solutions for quasi-linear elliptic problems. II: Small and intermediate solutions ⋮ Existence, non-existence and asymptotic behavior of blow-up entire solutions of semilinear elliptic equations ⋮ Symmetry of large solutions of nonlinear elliptic equations in a ball ⋮ Symmetry of large solutions of semilinear elliptic equations. ⋮ Boundary blow-up solutions to nonlocal elliptic systems of cooperative type

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