Global bifurcation in variational inequalities : applications to obstacle and unilateral problems
著者
書誌事項
Global bifurcation in variational inequalities : applications to obstacle and unilateral problems
(Applied mathematical sciences, v. 123)
Springer, 1997
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注記
Includes bibliographical references (p. [239]-245) and index
内容説明・目次
内容説明
An up-to-date and unified treatment of bifurcation theory for variational inequalities in reflexive spaces and the use of the theory in a variety of applications, such as: obstacle problems from elasticity theory, unilateral problems; torsion problems; equations from fluid mechanics and quasilinear elliptic partial differential equations. The tools employed are those of modern nonlinear analysis. Accessible to graduate students and researchers who work in nonlinear analysis, nonlinear partial differential equations, and additional research disciplines that use nonlinear mathematics.
目次
Contents: Introduction.- Some Auxiliary results.- Variational inequalities defined on convex sets in Hilbert spaces: Homogenization procedures.- Degree calculations - The Hilbert Space case.- Bifurcation from infinity in Hilbert spaces.- Bifurcation in Banach spaces.- Bifurcation from infinity in Banach spaces.- Bibliography.- Index.
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