论文标题
研究具有梯度术语的非本地方程的超溶液的存在
Study of the existence of supersolutions for nonlocal equations with gradient terms
论文作者
论文摘要
我们研究了非本地方程的阳性超溶液的存在$（ - δ）^s u+ | \ nabla u |^q =λf（u）$在外部域中，可以将基准$ f $与附近的$ u^{p} $进行比较。我们证明存在或有限的超填充其取决于$ p $，$ q $和$ s $的值。
We study the existence of positive supersolutions of nonlocal equations $(-Δ)^s u+ |\nabla u|^q=λf(u)$ in exterior domains where the datum $f$ can be comparade with $u^{p}$ near the origin. We prove that the existence or bounded supersolutions its depend of the values of $p$, $q$ and $s$.
