Asymptotics for singular solutions of quasilinear elliptic equations with an absorption term. (English) Zbl 1250.35109
Summary: We are concerned with the asymptotic analysis of positive blow-up boundary solutions for a class of quasilinear elliptic equations with an absorption term. By means of the Karamata theory, we establish the first two terms in the expansion of the singular solution near the boundary. Our analysis includes large classes of nonlinearities of Keller-Osserman type.
MSC:
| 35J62 | Quasilinear elliptic equations |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35B44 | Blow-up in context of PDEs |
Keywords:
quasilinear elliptic equation; boundary blow-up; asymptotic analysis; regular variation theoryReferences:
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