Asymptotics for quasilinear obstacle problems in bad domains. (English) Zbl 1418.35195
Summary: We study two obstacle problems involving the \(p\)-Laplace operator in domains with \(n\)-th pre-fractal and fractal boundary. We perform asymptotic analysis for \(p \rightarrow \infty \) and \(n \rightarrow \infty \).
MSC:
| 35J92 | Quasilinear elliptic equations with \(p\)-Laplacian |
| 35J70 | Degenerate elliptic equations |
| 35B40 | Asymptotic behavior of solutions to PDEs |
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