Title of article :
Eigenvalue problem for p-Laplacian with mixed boundary conditions
Author/Authors :
Li, Guofa Qujing Normal University - Department of Mathematics and Information Science, China , Liu, Haihong Yunnan Normal University - Department ofMathematics, China , Cheng, Bitao Qujing Normal University - Department of Mathematics and Information Science, China
Abstract :
Eigenvalue problem for p-Laplacian with mixed boundary conditions is concerned on a bounded domain. The existence of nonnegative eigenvalues are obtained by using the Lusternik-Schnirelman principle. Boundedness of eigenfunctions is obtained by using the Moser iteration. The simplicity and isolation of the first eigenvalue are proved. The existence of the second eigenvalue is also illustrated.
Keywords :
Eigenvalue problem , p , Laplacian , Mixed boundary conditions , Ljusternik , Schnirelman principle , Variational methods
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
