论文标题
球中的大量退化和/或奇异的准椭圆方程
Large solutions of degenerate and/or singular quasilinear elliptic equations in a ball
论文作者
论文摘要
我们考虑当地弱解决方案，其爆炸速率接近边界与某些类别的退化和/或奇异的quasilIrinear椭圆方程\\ $ {\ rm div}（d^α（x，x，\ partial {} b）φ_p（\ nabla u）= b（x）f（x）f（x）f（x）F（x）F（x） $σ+1> p-1，\ p> 1 $。特别是，解决方案的渐近行为如何在方程式中存在的不同指数和脱落性和/或奇异性上变化。我们还包括相应的半线性问题的二阶爆破率。
We consider local weak large solutions with its blow-up rate near the boundary to certain class of degenerate and/or singular quasilinear elliptic equation\\ ${\rm div}(d^α(x,\partial{}B)Φ_p(\nabla u)) = b(x)f(u)$ in a ball B, where $f$ is normalized regularly varying at infinity with index $σ+1>p-1,\ p>1$. In particular, how the asymptotic behavior of the solution changes over the varying index and degeneracy and/ or singularity present in the equation. We also include the second order blow-up rate for the corresponding semilinear problem.
