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Nonexistence of Solutions of Elliptic Differential Inequalities in Conic Domains

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Abstract

We study some nonexistence problems for the solutions of semilinear elliptic differential inequalities and systems of second order in conic domains. The proof is based on the trial function method developed by Mitidieri and Pokhozhaev without recourse to comparison theorems and to the maximum principle.

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Authors and Affiliations

  1. Tula State University, Russia

    G. G. Laptev

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  1. G. G. Laptev
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Laptev, G.G. Nonexistence of Solutions of Elliptic Differential Inequalities in Conic Domains. Mathematical Notes 71, 782–793 (2002). https://doi.org/10.1023/A:1015868812016

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