Kirchhoff-Type Problem with Mixed Boundary Condition in a Variable Exponent Sobolev  

作　　者：Junichi Aramaki 

机构地区：[1]Division of Science,Tokyo Denki University,Hatoyama-machi,Saitama,350-0394,Japan.

出　　处：《Communications in Mathematical Research》2023年第4期539-574,共36页数学研究通讯（英文版）

摘　　要：.In this paper,we consider a mixed boundary value problem for the stationary Kirchhoff-type equation containing p(-)-Laplacian.More precisely,we are concerned with the problem with the Dirichlet condition on a part of the boundary and the Steklov boundary condition on an another part of the boundary.We show the existence of at least one,two or infinitely many non-trivial weak solutions according to hypotheses on given functions.

关 键 词：Kirchhoff-type problem mixed boundary value problem p(-)-Laplacian type equation weak solutions 

分 类 号：O175[理学—数学]