Smooth continuation of solutions and eigenvalues for variational inequalities based on the implicit function theorem

0175171 - MU-W 20020057 RIV US eng J - Journal Article
Eisner, Jan - Kučera, Milan - Recke, L.
Smooth continuation of solutions and eigenvalues for variational inequalities based on the implicit function theorem.
Journal of Mathematical Analysis and Applications. Roč. 274, - (2002), s. 159-180. ISSN 0022-247X. E-ISSN 1096-0813
R&D Projects: GA ČR GA201/98/1453
Keywords : variational inequalitis
Subject RIV: BA - General Mathematics
Impact factor: 0.458, year: 2002

The implicit function theorem is applied in a nonstandard way to abstract variational inequalities depending on a ( posssibly infinite-dimensional ) parameter. In this way, results on smooth continuation of solutions as well as of eigenvalues and eige factors are established under certain particular assumptions. The abstract results are applied to a linear second order elliptic.
Permanent Link: http://hdl.handle.net/11104/0072158