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A Baire category approach in existence theory of differential equations

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References

  1. J.P. Aubin andA. Cellina, Differential Inclusions, Springer-Verlag, Berlin, 1984.

    Book  MATH  Google Scholar 

  2. A. Bressan andF. Flores,On total differential inclusions, Rend. Sem. Mat. Univ. Padova92 (1994) 9–16.

    MathSciNet  MATH  Google Scholar 

  3. A. Cellina,On the differential inclusion x′∈[−1,1], Atti Accad. Naz. Lincei, Rend. Sc. Fis. Mat. Nat.69 (1980) 1–6.

    MATH  Google Scholar 

  4. A. Cellina andS. Perrotta,On a problem of potential wells, J. Convex Anal.2 (1995) 103–115.

    MathSciNet  MATH  Google Scholar 

  5. G. Choquet, Lectures on Analysis, Mathematics Lecture Notes Series, Benjamin, Reading, Massachusetts, 1969.

    MATH  Google Scholar 

  6. B. Dacorogna, Direct methods in the calculus of variations, Springer-Verlag, Berlin, 1989.

    Book  MATH  Google Scholar 

  7. B. Dacorogna andP. Marcellini,General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases, Acta Math.178 (1997) 1–37.

    Article  MathSciNet  MATH  Google Scholar 

  8. B. Dacorogna andP. Marcellini,Cauchy-Dirichlet problem for first order nonlinear systems, J. Funct. Anal.152 (1998) 404–446.

    Article  MathSciNet  MATH  Google Scholar 

  9. F.S. De Blasi andG. Pianigiani,A Baire category approach to the existence of solutions of multivalued differential equations in Banach spaces, Funkcial. Ekvac.25 (1982) 153–162.

    MathSciNet  MATH  Google Scholar 

  10. F.S. De Blasi andG. Pianigiani,Non convex valued differential inclusions in Banach spaces, J. Math. Anal. Appl.157 (1991) 469–494.

    Article  MathSciNet  MATH  Google Scholar 

  11. F.S. De Blasi andG. Pianigiani,On the Dirichlet problem for first order partial differential equations. A Baire category approach, NoDEA Nonlinear Diff. Eq. Appl.6 (1999) 13–34.

    Article  MathSciNet  MATH  Google Scholar 

  12. I. Ekeland andR. Temam, Analyse convexe et problemes variationnels, Gauthier-Villars, Paris, 1974.

    MATH  Google Scholar 

  13. D. Kinderlehrer andG. Stampacchia, An introduction to variational inequalities and their applications, Academic Press, New York, 1980.

    MATH  Google Scholar 

  14. P.L. Lions, Generalized solutions of Hamilton-Jacobi equations, Research Notes in Math.69 Pitman, London, 1982.

    MATH  Google Scholar 

  15. G. Pianigiani,Differential inclusions. The Baire category method, inMethods of nonconvex analysis, edited by A. Cellina, Lecture Notes in Math.1446, Springer-Verlag, Berlin, 1990, 104–136.

    Chapter  Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Matematica per le Decisioni, Università di Firenze, Via Lombroso, 6/17, 50134, Firenze, Italy

    Giulio Pianigiani

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  1. Giulio Pianigiani
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Correspondence to Giulio Pianigiani.

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Conferenza tenuta il giorno 4 Maggio 1998

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Pianigiani, G. A Baire category approach in existence theory of differential equations. Seminario Mat. e. Fis. di Milano 68, 145–151 (1998). https://doi.org/10.1007/BF02925832

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