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- W2560943575 abstract "This paper deals with singular perturbation problems for quasilinear elliptic equations with the $p$-Laplace operator, e.g., −$epsilon_pu = u^(p − 1)|a(x) − u|^(q − 1)(a(x) − u)$, where $Epsilon$ is a positive parameter, $p$ > 1, $q$ > 0 and $a(x)$ is a positive continuous function. It is proved that any positive solution converges to $a(x)$ uniformly in any compact subset as $epsilon rightarrow 0$. In particular, when $q$ < $p$−1 and $epsilon$ is small enough, the solutions coincide with $a(x)$ on one or more than one subdomain where $a(x)$ is constant, and hence there appear flat cores partially in the whole domain. These results are proved by comparison principles." @default.
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- W2560943575 date "2007-09-01" @default.
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- W2560943575 title "Partial flat core properties associated to the p-Laplace operator" @default.
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