On a fully nonlinear k-Hessian system of Lane-Emden type
Genival da Silva
TL;DR
This paper proves the existence of solutions for a fully nonlinear, degenerate elliptic system of Lane-Emden type equations and explores a related inhomogeneous extension.
Contribution
It introduces new existence results for a class of fully nonlinear elliptic systems of Lane-Emden type and generalizes to inhomogeneous cases.
Findings
Existence of solutions established for the nonlinear system.
Extension to inhomogeneous equations discussed.
Provides theoretical foundation for further studies.
Abstract
In this manuscript we prove the existence of solutions to a fully nonlinear system of (degenerate) elliptic equations of Lane-Emden type and discuss a inhomogeneous generalization.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems · Mathematical and Theoretical Epidemiology and Ecology Models