Existence of a unique weak solution to the second boundary value problem for a fully nonlinear Gilbarg–Serrin equation in Sobolev spaces

Authors

  • Jeyhun Aliyev Nakhchivan State University
  • Sahib Aliyev

DOI:

https://doi.org/10.22105/kmisj.vi.141

Keywords:

Gilbarg–Serrinequation, weighted Sobolevspaces, second boundary value problem,

Abstract

In this article, the solvability of these cond boundary value problem for the fully nonlinear Gilbarg–Serrin
equation, which belongs to the class of second-orderellipticequationswithdiscontinuouscoefficients, is
investigated in the weighted Sobolev space, by incorporating the corresponding weight.


kmisj

Published

2026-10-13

Issue

Articles in Press

Section

Articles

Categories

License

Copyright (c) 2025 Karshi Multidisciplinary International Scientific Journal

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Aliyev, J., & Aliyev, S. (2026). Existence of a unique weak solution to the second boundary value problem for a fully nonlinear Gilbarg–Serrin equation in Sobolev spaces. Karshi Multidisciplinary International Scientific Journal. https://doi.org/10.22105/kmisj.vi.141

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