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Image d’une somme d’operateurs monotones et applications

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Abstract

LetA andB be monotone (multivalued) operators in a Hilbert spaceH. The paper deals with the relations between the rangeR(A+B) ofA+B and the algebraic sum of the ranges ofA andB, R(A)+R(B).

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References

  1. H. Brezis,Opérateurs Maximaux Monotones, Lecture Notes in Mathematics, North-Holland, 1973.

  2. H. Brezis, F. Browder,Some new results about Hammerstein equations, Bull. Amer. Math. Soc.80 (1974), 568–572.

    Article  MathSciNet  Google Scholar 

  3. H. Brezis, F. Browder,Nonlinear integral equations and systems of Hammerstein type, Advances in Math.18 (1975), 115–147.

    Article  MATH  MathSciNet  Google Scholar 

  4. F. Browder,Nonlinear functional analysis and nonlinear integral equations of Hammerstein and Urysohn type, inContributions to Nonlinear Functional Analysis, ed. E. Zarantonello, Acad. Press, 1971, pp. 425–500.

  5. P. Hess,On nonlinear equations of Hammerstein type in Banach spaces, Proc. Amer. Math. Soc.31 (1971), 308–312.

    Article  MathSciNet  Google Scholar 

  6. P. Hess,A remark on a class of linear monotone operators, Math. Z.125 (1972), 104–106.

    Article  MATH  MathSciNet  Google Scholar 

  7. P. Hess,On semi-coercive nonlinear problems, Indiana Univ. Math. J.23 (1974), 645–654.

    Article  MATH  MathSciNet  Google Scholar 

  8. E. M. Landesman, A. C. Lazer,Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Appl. Math. Mech.19 (1970), 609–623.

    MATH  MathSciNet  Google Scholar 

  9. S. Maury,Un problème de frottement équivalent à un problème de poursuite: étude aymptotique, Séminaire d'analyse convexe, Montpellier, exposé no. 8, 1973.

  10. L. Nirenberg,Generalized degree and nonlinear problems, inContributions to Nonlinear Functional Analysis, ed. E. Zarantonello, Acad. Press, 1971, pp. 1–10.

  11. M. Schatzman,Problèmes aux limites non linéaires, non coercifs, Ann. Scuola Norm. Sup. Pisa27 (1973), 641–686.

    MathSciNet  Google Scholar 

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Brezis, H., Haraux, A. Image d’une somme d’operateurs monotones et applications. Israel J. Math. 23, 165–186 (1976). https://doi.org/10.1007/BF02756796

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  • DOI: https://doi.org/10.1007/BF02756796

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