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Religion of positivity of solutions of elliptic equations

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Abstract

The class of elliptic equations is identified whose solutions which are nonnegative in a sphere of a certain radius vanish identically. A generalization is indicated to the case of equations with complex coefficients and solutions whose values lie in a sector of the complex plane determined by the equation.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    V. A. Kondrat'ev & S. D. Éidel'man

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  1. V. A. Kondrat'ev
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  2. S. D. Éidel'man
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Translated from Matematicheskie Zametki, Vol. 9, No. 1, pp. 83–87, January, 1971.

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Kondrat'ev, V.A., Éidel'man, S.D. Religion of positivity of solutions of elliptic equations. Mathematical Notes of the Academy of Sciences of the USSR 9, 49–51 (1971). https://doi.org/10.1007/BF01405052

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  • DOI: https://doi.org/10.1007/BF01405052

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