Large Solutions to Elliptic Systems of $$\infty$$-Laplacian Equations
| Autor: | Weifeng Wo, Jianduo Yu, Feiyao Ma |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Mathematical Notes. 109:971-979 |
| ISSN: | 1573-8876 0001-4346 |
| DOI: | 10.1134/s000143462105031x |
| Popis: | In this paper, we study the existence, uniqueness and boundary behavior of positive boundary blow-up solutions to the quasilinear system $$\Delta_{\infty}u=a(x)u^{p}v^{q}$$ , $$\Delta_{\infty}v=b(x)u^{r}v^{s}$$ in a smooth bounded domain $$\Omega\subset R^{N}$$ , with the explosive boundary condition $$u=v=+\infty$$ on $$\partial\Omega$$ , where the operator $$\Delta_{\infty}$$ is the $$\infty$$ -Laplacian, the positive weight functions $$a(x)$$ , $$b(x)$$ are Holder continuous in $$\Omega$$ , and the exponents verify $$p$$ , $$s > 3$$ , $$q$$ , $$r>0$$ , and $$(p-3)(s-3) > qr$$ . |
| Databáze: | OpenAIRE |
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