论文标题
磁性$ p $ -laplacians Hardy不平等现象
Hardy inequalities for magnetic $p$-Laplacians
论文作者
论文摘要
由于添加了非平凡的磁场，我们为磁性$ p $ -laplacian建立了改善的Hardy不平等现象。我们还证明，对于aharonov-bohm磁场，耐力不平等的急剧常数比在无磁性$ p $ laplacian的情况下严格大。我们还发表了一些带有开放问题的评论。
We establish improved Hardy inequalities for the magnetic $p$-Laplacian due to adding nontrivial magnetic fields. We also prove that for Aharonov-Bohm magnetic fields the sharp constant in the Hardy inequality becomes strictly larger than in the case of a magnetic-free $p$-Laplacian. We also post some remarks with open problems.
