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16.—A Remark on a Paper by J. F. Toland and some Applications to Unilateral Problems

Published online by Cambridge University Press:  14 February 2012

Synopsis

We extend a result of J. F. Toland concerning bifurcation from infinity and we made some applications to variational inequalities.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1976

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References

REFERENCES

1Beirão-da-Veiga, H. Differentiability for Green's operators of variational inequalities and applications to the calculus of bifurcation points. J. Functional Analysis, to appear.Google Scholar
2Brézis, H. Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. In Contributions to nonlinear functional analysis (Ed. Zarantonello, E. H. (New York: Acad. Press, 1971), 101–156.Google Scholar
3Dias, J. P and Hernández, J. Bifurcation à l'infini et alternative de Fredholm pour certains problèmes unilatéraux. J. Math. Pures Appl, to appear.Google Scholar
4Moreau, J. J. Proximité et dualité dans un espace hilbertien. Bull. Soc. Math. France 93 (1965), 273299.CrossRefGoogle Scholar
5Krasnosel'skii, M. A. Topological methods in the theory of nonlinear integral equations (Oxford: Pergamon, 1963).Google Scholar
6Toland, J. F. Bifurcation and asymptotic bifurcation for non-compact non-symmetric gradient operators. Proc. Roy. Soc. Edinburgh Sect. A 73 (1975), 137147.CrossRefGoogle Scholar