Estimates and uniqueness for boundary blow-up solutions of p-Laplace equations

Electronic Journal of Differential Equations

关键词: p-Laplace equations;    large equations;    uniqueness;    second order boundary approximation;   

DOI  :  

来源: DOAJ

【 摘 要 】

We investigate boundary blow-up solutions of the p-Laplaceequation $Delta_p u=f(u)$, $p>1$, in a bounded smoothdomain $Omegasubset R^N$. Under appropriate conditions on thegrowth of $f(t)$ as $t$ approaches infinity, we find an estimateof the solution $u(x)$ as $x$ approaches $partialOmega$, anda uniqueness result.

【 授权许可】

Unknown