THE BEHAVIOUR OF SOLUTIONS BOUNDARY PROBLEM TO NONLINEAR ELLIPTIC EQUATIONS

Articles in Press

Document Type : Research Paper

Authors

1 Institute of Mathematics and Mechanics of NAS of Azerbaijan, The Azerbaijan Architecture and Construction University, Baku, Azerbaijan.

2 Baku State University, Baku, Azerbaijan.

3 Nakhchivan State University, Nakhchivan, Azerbaijan.

Abstract

We obtained estimates in generalized Morrey spaces are used to study global regularity of the solution
of the Neumann boundary problem of nonlinear elliptic equations in divergence form over a bounded
non-smooth domain. For these is we used of Calderon-Zygmund theory.
The investigation of nonlinear reaction, drift, diffusion processes has received many attention. This
questions arise as mathematical models of different applied problems. For example, for instance
diffusion processes of electrically charged species phase transition and transport in porons media.
The main goal of the article is to obtain Hölder estimates for solutions to the Neumann problem for
nonlinear elliptic equations.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 10 February 2025

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History

  • Receive Date: 14 May 2024
  • Accept Date: 23 December 2024

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