Potential analysis of multi layers optic fiber models
Kateryna Buryachenko, Yuliya Kudrych
TL;DR
This paper investigates potential estimates for solutions to complex double phase elliptic equations with variable nonlinear powers, and explores their applications in modeling modern optical fiber technologies.
Contribution
It introduces new potential estimates for double phase elliptic equations with variable exponents and applies these results to optical fiber modeling.
Findings
Derived pointwise potential estimates for solutions.
Established applications in optical fiber technology modeling.
Enhanced understanding of nonlinear elliptic equations with variable exponents.
Abstract
We study pointwise potential estimates of the weak nonnegative solutions for the double phase elliptic equations with variables powers of nonlinearity: p(x), q(x). We discuss also the applications of the obtained theoretical results for the problem of modeling and analyzing of optic fiber and optic cable modern technologies.
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Taxonomy
TopicsDifferential Equations and Numerical Methods · Differential Equations and Boundary Problems · Nonlinear Partial Differential Equations