On Fredholm solvability and on the index of the generalized Neumann problem for an elliptic equation
Koshanov B. Soldatov A.
2022Taylor and Francis Ltd.
Complex Variables and Elliptic Equations
2022#67Issue 122907 - 2923 pp.
In this paper, we investigate the Fredholm solvability of the generalized Neumann problem for a high-order elliptic equation in the plane. The equivalence of the solvability conditions of the generalized Neumann problem to the complementarity condition (Shapiro–Lopatinsky condition) is proved. The formula for the index of the specified problem in the class (Formula presented.) is calculated.
30G20 , 35J35 , 35J40 , complementarity condition , formula for the index , Fredholm solvability , generalized Neumann problem , Higher order elliptic equations
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Institute of Mathematics and Mathematical Modeling and Abai Kazakh National Pedagogical University Almaty, Almaty, Kazakhstan
Federal Research Center ‘Computer Science and Control’ of Russian Academy of Sciences and Moscow Center for Fundamental and Applied Mathematics, Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling and Abai Kazakh National Pedagogical University Almaty
Federal Research Center ‘Computer Science and Control’ of Russian Academy of Sciences and Moscow Center for Fundamental and Applied Mathematics
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