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On blow up solutions of a quasilinear elliptic equation. (English) Zbl 0954.35066

The existence and asymptotic behaviour of the solutions of the equation \(\Delta u + |Du|^q =f(u)\) in a bounded and regular domain in \({\mathbb{R}}^N\) which diverge on \(\partial \Omega\), is studied.

MSC:

35J65 Nonlinear boundary value problems for linear elliptic equations
35B40 Asymptotic behavior of solutions to PDEs
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