A hemivariational inequality involving p-Laplacian on an infinite strip

作者：Dai Guowei^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(3-4): 2127-2135.

DOI：10.1016/j.na.2009.10.013

• p-Laplacian
• Hemivariational inequalities
• Infinite strip

This paper deals with an eigenvalue problem for hemivariational inequalities on domains of the type omega x R(omega is a bounded open subset of R(N-1), N >= 2) and it involves concave-convex nonlinearities. Under suitable conditions on the nonlinearities, two nontrivial solutions are obtained which belong to a special closed convex cone of W(0)(1,p)(omega x R) whenever the eigenvalues are of certain range. Our approach is variational based on the theories of non-smooth analysis. Our results are a generalization of the case of Laplacian from A. Kristaly, et al. to the case of p-Laplacian.

• 出版日期2010-2-1
• 单位西北师范大学