Unique Solvability of the Dirichlet Problem for a Second Order Linear Elliptic Equation of the Most General Form

Authors

  • Yurij A. Alkhutov
  • Gregory A. Chechkin

DOI:

https://doi.org/10.52575/2687-0959-2026-58-3-270-276

Keywords:

Strictly Lipschitz Domain, Linear Elliptic Equation, Unique Solvability, Sobolev Limit Exponent

Abstract

In this paper, we consider the homogeneous Dirichlet problem for a general second-order linear elliptic equation
with limit integrability exponents of the lower-order coefficients in a bounded domain in R

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Author Biographies

Yurij A. Alkhutov

Doctor of Physical and Mathematical Sciences, Professor, Professor of the Department of Physics and Mathematics Education and Information Technologies (FMOiIT),
Vladimir,
Russia,
E-mail: yurij-alkhutov@yandex.ru

Gregory A. Chechkin

Doctor of Physical and Mathematical Sciences, Professor, Professor of the Department of Differential Equations,
Moscow,
Russia,
E-mail: chechkin@mech.math.msu.su

References

Список литературы

БоярскийБ.В.Обобщенныерешениясистемыдифференциальныхуравненийпервогопорядкаэллиптического типа с разрывными коэффициентами. Матемематический сборник. 1957;43(85,4):451–503.

Meyers N.G. An


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Published

2026-09-30

How to Cite

Alkhutov, Y. A., & Chechkin, G. A. (2026). Unique Solvability of the Dirichlet Problem for a Second Order Linear Elliptic Equation of the Most General Form. Applied Mathematics & Physics, 58(3), 270-276. https://doi.org/10.52575/2687-0959-2026-58-3-270-276

Issue

Vol. 58 No. 3 (2026)

Section

Mathematics

Copyright (c) 2026 Applied Mathematics & Physics

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