On a Critical Fourth Order PDE with Navier Boundary Condition
On a Critical Fourth Order PDE with Navier Boundary Condition作者机构:Department of Mathematics King Abdulaziz University
出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))
年 卷 期:2019年第35卷第12期
页 面:1906-1916页
核心收录:
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题:Fourth order PDE critical nonlinearity variational problem critical points at infinity
摘 要:We consider a fourth order nonlinear PDE involving the critical Sobolev exponent on a bounded domain of R^n,n≥5 with Navier condition on the *** study the lack of compactness of the problem and we provide an existence theorem through a new index formula.