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A Semilinear Elliptic Problem which is not Selfadjoint

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Analysis and Continuum Mechanics

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Abstract

Cesari [7] & I in a preceding paper established conditions sufficient that a semilinear elliptic boundary-value problem, possibly not selfadjoint shall have a solution.

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References

  1. R. A. ADAMS, Sobolev Spaces, Academic Press, New York, 1975.

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  2. L. CESARI, “Nonlinear Analysis. New Arguments and Results”, Rend. Accad. Naz. Lincei, I and II. 76 (1984), 339–345; 77 (1984), 13–20.

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  3. L. CESARI & T. T. BOWMAN, “Existence of Solutions to Nonselfadjoint Boundary Value Problems for Ordinary Differential Equations”, Nonlinear Analysis, 9 (1985), 1211–1225.

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  6. L. CESARI & P. Pucci, Global Periodic Solutions of the Nonlinear Wave Equation, Archive Rational Mech. Anal., 89 (1985), 187–209.

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  7. L. CESARI & P. Pucci, “Existence Theorems for Nonselfadjoint Semilinear Elliptic Boundary Value Problems”, Nonlinear Analysis, 9 (1985), 1227–1241.

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  8. L. TONELLI, Serie Trigonometriche,Zanichelli, Bologna, 1928, viii + 526.

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  9. A. ZYGMUND, Trigonometric Series, Vols. 1 and II, 2nd ed., Cambridge University Press, New York, 1959.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi, Perugia, Italy

    Patrizia Pucci

Authors
  1. Patrizia Pucci
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Additional information

Dedicated to Professor Serrin, a great Master, on the occasion of his sixtieth birthday, in gratitude.

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© 1989 Springer-Verlag Berlin Heidelberg

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Pucci, P. (1989). A Semilinear Elliptic Problem which is not Selfadjoint. In: Analysis and Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83743-2_5

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  • DOI: https://doi.org/10.1007/978-3-642-83743-2_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50917-2

  • Online ISBN: 978-3-642-83743-2

  • eBook Packages: Springer Book Archive

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