Stability of Positive Solution to Fractional Logistic Equations

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Abstract

<p>In this paper, we show the existence of a classical solution to a class of fractional logistic equations in an open bounded subset with smooth boundary. We use the method of sub- and super-solutions with variational arguments to establish the existence of a unique positive solution. We also establish the stability and nondegeneracy of the positive solution.</p>

Journal

  • Funkcialaj Ekvacioj

    Funkcialaj Ekvacioj 62 (1), 61-73, 2019

    Division of Functional Equations, The Mathematical Society of Japan

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