Boundary blow-up solutions for logistic-type porous media equations with nonregular source

DOI10.1112/jlms/jdp018zbMath1180.35204OpenAlexW2014957373MaRDI QIDQ3183626

Mingxin Wang, Hui-Ling Li, Peter Y. H. Pang

Publication date: 20 October 2009

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/jdp018

zbMATH Keywords

existenceuniquenessboundary blow-up solutionslogistic type porous media equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Flows in porous media; filtration; seepage (76S05) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44)

Related Items (9)

Asymptotic behavior of boundary blow-up solutions to elliptic equations ⋮ The existence and blow-up rate of large solutions of one-dimensional \(p\)-Laplacian equations ⋮ Boundary blow-up solutions of \(p\)-Laplacian elliptic equations with lower order terms ⋮ Blow-up rates and uniqueness of large solutions for elliptic equations with nonlinear gradient term and singular or degenerate weights ⋮ On some free boundary problems of the prey-predator model ⋮ The diffusive logistic equation with a free boundary and sign-changing coefficient ⋮ Large solutions for a cooperative elliptic system of \(p\)-Laplacian equations ⋮ Uniqueness results and asymptotic behavior of solutions with boundary blow-up for logistic-type porous media equations ⋮ Boundary blow-up solutions to nonlocal elliptic systems of cooperative type

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