A note on boundary blow-up problem of ∆u = u p

DOI10.4134/BKMS.b180221zbMath1422.35080OpenAlexW2268798605MaRDI QIDQ4968632

Seick Kim

Publication date: 16 July 2019

Full work available at URL: https://conservancy.umn.edu/handle/11299/3813

zbMATH Keywords

existenceuniquenessboundary blow-upsemi-linear equation with Laplacian

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Blow-up solutions of semilinear parabolic equations on unbounded domains of \(R^N\) ⋮ Entire large solutions to semilinear elliptic equations with rapidly or regularly varying nonlinearities

Cites Work

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• On the inequality \(\Delta u \geqq f (u)\)
• Removable singularities for some nonlinear elliptic equations
• Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations
• Boundary-blow-up problems in a fractal domain
• On solutions of δu=f(u)

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