Boundary blow-up elliptic problems with nonlinear gradient terms and singular weights

DOI10.1017/S0308210506000643zbMath1155.35378OpenAlexW2084021700MaRDI QIDQ3597954

Zhijun Zhang

Publication date: 29 January 2009

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210506000643

zbMATH Keywords

asymptotic behaviourelliptic problemscomparison functionsKaramata variation theory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

Large solutions for quasilinear elliptic equation with nonlinear gradient term ⋮ A Fourier analysis approach to elliptic equations with critical potentials and nonlinear derivative terms ⋮ Blow-up rates and uniqueness of large solutions for elliptic equations with nonlinear gradient term and singular or degenerate weights ⋮ Large solution to nonlinear elliptic equation with nonlinear gradient terms ⋮ Keller-Osserman type conditions for some elliptic problems with gradient terms ⋮ Boundary behavior of large solutions to semilinear elliptic equations with nonlinear gradient terms ⋮ Boundary blow-up rates of large solutions for elliptic equations with convection terms ⋮ Exact boundary behavior of large solutions to semilinear elliptic equations with a nonlinear gradient term

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