On the Weak Solvability of Dirichlet Problem for a Fractional Order Degenerate Elliptic Equation
F.I. MamedovInstitute of Mathematics and Mechanics, The Ministry of Science and Education of the Republic of Azerbaijan, Baku, AzerbaijanNazira Mohubbat MammadzadaInstitute of Mathematics and Mechanics, The Ministry of Science and Education of the Republic of Azerbaijan, Baku, AzerbaijanS.M. MammadliInstitute of Mathematics and Mechanics, The Ministry of Science and Education of the Republic of Azerbaijan, Baku, Azerbaijan
2024en
ABI
Аннотация
In this paper, we study the weak solvability of nonhomogeneous Dirichlet problem for a degenerate fractional order elliptic equation: (-∆)For that a sufficient condition is found on the data of problem such as Ω, α, n, the weight function ω : R n → [0, ∞) and the functions f, φ.Weighted fractional order Sobolev-Poincare type inequality and Lax-Milgram principle are used.
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