Uniqueness of large solutions

DOI10.1016/j.jmaa.2012.05.085zbMath1250.35072arXiv1202.2217OpenAlexW1996394769MaRDI QIDQ448283

Louis Dupaigne, Olivier Goubet, Ovidiu Costin

Publication date: 30 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2217

zbMATH Keywords

elliptic partial differential equationslarge solutionsboundary blow-upuniqueness of large solutions

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Blow-up in context of PDEs (35B44)

Related Items

Symmetry of large solutions for semilinear elliptic equations in a ball ⋮ Unnamed Item ⋮ Uniqueness of large positive solutions ⋮ Multiplicity of large solutions for quasi-monotone pulse-type nonlinearities ⋮ General uniqueness results for large solutions ⋮ Qualitative properties of blow-up solutions to some semilinear elliptic systems in non-convex domains ⋮ Uniqueness of large solutions for non-monotone nonlinearities ⋮ Estimates for large solutions of a quasilinear elliptic equation ⋮ On the moving plane method for boundary blow-up solutions to semilinear elliptic equations ⋮ Blow-up solutions for fully nonlinear equations: existence, asymptotic estimates and uniqueness ⋮ Large solutions of elliptic semilinear equations in the borderline case. an exhaustive and intrinsic point of view ⋮ Large \(s\)-harmonic functions and boundary blow-up solutions for the fractional Laplacian

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