An extreme variation phenomenon for some nonlinear elliptic problems with boundary blow-up

DOI10.1016/j.crma.2004.10.005zbMath1133.35352OpenAlexW2067400011MaRDI QIDQ1763489

Florica-Corina St. Cîrstea

Publication date: 22 February 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.10.005

Mathematics Subject Classification ID

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

Related Items

Boundary blow-up elliptic problems of Bieberbach and Rademacher type with nonlinear gradient terms ⋮ Large solutions of elliptic equations with a weakly superlinear nonlinearity ⋮ Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity ⋮ Boundary blow-up quasilinear elliptic problems of the Bieberbach type with nonlinear gradient terms ⋮ Asymptotic behavior of positive solutions of a singular nonlinear Dirichlet problem ⋮ Uniqueness and blow-up rate of large solutions for elliptic equation \(-\Delta u=\lambda u - b(x)h(u)\) ⋮ Exact asymptotic behavior near the boundary to the solution for singular nonlinear Dirichlet problems ⋮ The asymptotic behaviour of the unique solution for the singular Lane-Emden-Fowler equation

Cites Work

• `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
• Uniqueness of the blow-up boundary solution of logistic equations with absorbtion.
• Extremal singular solutions for degenerate logistic-type equations in anisotropic media
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