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Nonlinear perturbations of linear elliptic operators

Invited Lectures

Part of the Lecture Notes in Mathematics book series (LNM,volume 415)

Keywords

  • Maximal Monotone
  • Uniform Boundedness
  • Maximal Monotone Operator
  • Closed Linear Operator
  • Linear Elliptic Equation

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References

  1. S. Agmon: Lectures on elliptic boundary value problems. Van Nostrand Math. Studies, No. 2, Van Nostrand, Princeton, N.J., 1965.

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  2. H. Amann: On the existence of positive solutions of nonlinear elliptic boundary value problems. Indiana Univ. Math. J. 21 (1971), 125–146.

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  3. H. Brézis: Opérateurs maximaux monotones. Mathematics Studies No. 5, North Holland, Amsterdam, 1973.

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  4. T. Kato: Accretive operators and nonlinear evolution equations in Banach spaces. Proc. Sympos. Pure Math., Vol. 18, part 1, Amer. Math. Soc., Providence, R.I., 1970, 138–161.

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  5. H. Lewy-G. Stampacchia: On the regularity of the solution of a variational inequality. Comm. Pure Appl. Math. 22 (1969), 153–188.

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  6. J.-L. Lions: Quelques méthodes de résolution des problèmes aux limites non linéaires. Dunod, Gauthier-Villars, Paris, 1969.

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  7. R.H. Martin: Nonlinear perturbations of second order elliptic operators. (to appear).

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© 1974 Springer-Verlag

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Hess, P. (1974). Nonlinear perturbations of linear elliptic operators. In: Sleeman, B.D., Michael, I.M. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065525

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  • DOI: https://doi.org/10.1007/BFb0065525

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06959-1

  • Online ISBN: 978-3-540-37264-6

  • eBook Packages: Springer Book Archive