On the existence of solutions of boundary value problems for quasilinear elliptic equations of general form in Sobolev spaces
Tulenbayev K. Karybayeva G. Zhadyranova A.
August 2025Taru Publications
Journal of Interdisciplinary Mathematics
2025#28Issue 51941 - 1954 pp.
The aim of the study is to prove the existence of functions satisfying a quasilinear elliptic equation of general form and satisfying the given boundary conditions in Sobolev spaces. Methods of functional analysis, theory of functions of many variables, differential calculus of functions were used to achieve this goal. The main results of the study include the formulation and proof of the theorem on the existence of solutions of boundary value problems for quasilinear elliptic equations of general form in Sobolev spaces. A general methodology has been developed to prove the existence of solutions for a wide class of quasilinear elliptic equations.
Boundary conditions , Differential equations , Functional analysis , Lemmas , Theorems
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Department of Higher Mathematics and Physics, Almaty Technological University, Almaty, 050012, Kazakhstan
Department of Higher Mathematics and Physics
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