Nonlinear Eigenvalue Problems in Elliptic Variational Inequalities: a local study
Journal Article
·
· Commun. Partial Differ. Equations; (United States)
The authors consider a class of Nonlinear Eigenvalue Problems (N.L.E.P.) associated with Elliptic Variational Inequalities (E.V.I.). First the authors introduce the main tools for a local study of branches of solutions; the authors extend the linearization process required in the case of equations. Next the authors prove the existence of arcs of solutions close to regular vs singular points, and determine their local behavior up to the first order. Finally, the authors discuss the connection between their regularity condition and some stability concept. 37 references, 6 figures.
- Research Organization:
- Departement Informatique, Saint-Etienne, France
- OSTI ID:
- 6834295
- Journal Information:
- Commun. Partial Differ. Equations; (United States), Vol. 10:2
- Country of Publication:
- United States
- Language:
- English
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