• 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

  • From page
    1
  • To page
    7
  • 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
  • Record number

    2569056