Infinite number of solutions for some elliptic eigenvalue problems of Kirchhoff-type with non-homogeneous material

Boundary value problems

Ravi P. Agarwal¹  Baoqiang Yan²  Donal O’Regan³ 

[1] Department of Mathematics, Texas A and M University-Kingsville, 78363, Texas, USA;School of Mathematics and Statistics, Shandong Normal University, 250014, Ji-nan, P.R. China;School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland;

关键词: Kirchhoff equations;    Sign-changing solution;    Variational method;    35J60;    35B32;    35J25;    35J62;   

DOI  :  10.1186/s13661-021-01522-9

来源: Springer

【 摘 要 】

In this paper, using variational method, we study the existence of an infinite number of solutions (some are positive, some are negative, and others are sign-changing) for a non-homogeneous elliptic Kirchhoff equation with a nonlinear reaction term.

【 授权许可】

CC BY