A priori estimates for solutions to anisotropic elliptic problems via symmetrization
A. Alberico, G. di Blasio, F. Feo
TL;DR
This paper develops a comparison method using anisotropic symmetrization to derive a priori estimates for solutions to nonlinear fully anisotropic elliptic problems, enhancing understanding of their behavior.
Contribution
It introduces a novel comparison technique based on anisotropic symmetrization to obtain a priori estimates for solutions of anisotropic elliptic equations.
Findings
Comparison result for solutions using anisotropic symmetrization
A priori estimates for solution norms derived
Enhanced understanding of anisotropic elliptic problems
Abstract
We obtain a comparison result for solutions to nonlinear fully anisotropic elliptic problems by means of anisotropic symmetrization. As consequence we deduce a priori estimates for norms of the relevant solutions.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering · Numerical methods in inverse problems