Some results on semilinear eqautions on lattice graphs

发布时间：2024-06-17 作者：浏览次数：

Speaker:	华波波	DateTime:	2024年6月24日(周一)上午10:00-11:00
Brief Introduction to Speaker: ...		Place:	六号楼二楼报告厅
Abstract:Yamabe type semilinear equations are introduced on lattice graphs as the generalization of Euler-Lagrange equations for minimizers of Sobolev inequalities. The non-existence result was obtained by Gu-Huang-Sun for small exponents. For the supercritical case, we proved the existence of the ground state solutions. The others are open. This is joint work with Ruowei Li, and Fengwen Han et al.