Double Eigenvalue Problems for Hemivariational Inequalities

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• 作者：D. Motreanu and P. D. Panagiotopoulos
• 刊名：Archive for Rational Mechanics and Analysis
• 出版年：1997
• 出版时间：December 1997
• 年：1997
• 卷：140
• 期：3
• 页码：225-251
• 全文大小：407 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mechanics
  Electromagnetism, Optics and Lasers
  Mathematical and Computational Physics
  Complexity
  Fluids
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0673

文摘

The aim of the present paper is to study a new type of eigenvalue problem, called a double eigenvalue problem, which arises in hemivariational inequalities related to nonconvex nonsmooth energy functionals. The paper provides existence results as well as some qualitative properties for the solutions to double eigenvalue problems for hemivariational inequalities under the presence of given nonlinear compact operators which are not necessarily of a variational structure. It presents three different approaches to such problems: minimization, minimax methods and (sub) critical point theory on a sphere. Applications illustrate the theory.