亚搏滚球竞猜

05-25【Francesco Tudisco】ZOOM Spectral Geometry Seminar 系列讲座之 015

发布者:万宏艳发布时间:2022-05-23浏览次数:221

Speaker: Francesco TUDISCO (Gran Sasso Science Institute, L'Aquilla, Italy)


Time: May 25, 16:00-17:00


Place: ZOOM ID: 942 6323 4612 Passcode: 713982


Title: Nodal domain count of the generalized p-Laplacian on graphs


Abstract: We consider a generalized p-Laplacian operator on discrete graphs which generalizes the linear Schrödinger operator (obtained for p=2). We consider a set of variational eigenvalues of this operator and present new results that characterize several spectral properties of this operator with particular attention to the nodal domain count of its eigenfunctions. Just like the one-dimensional continuous p-Laplacian, we prove that the variational spectrum of the discrete generalized p-Laplacian on forests is the entire spectrum. Moreover, we show how to transfer the Weyl’s inequalities for the Laplacian operator to the nonlinear case and thus we prove new upper and lower bounds on the number of nodal domains of every eigenfunction of the generalized p-Laplacian on graphs, including those corresponding to variational eigenvalues. When applied to the linear case p=2, the new results imply well-known properties of the linear Schrödinger operator as well as novel ones.


Baidu
sogou
爱体育官方app-软件下载客户端版 真正捕鱼下载-捕鱼赚钱游戏大全 亚搏足球竞技(中国)有限公司 乐动体育-LDSports首页 足球直播-2022年卡塔尔世界杯直播-雷速体育 亚慱体育app官方下载-苹果ios下载
亚搏滚球竞猜中国有限公司