Existence and uniqueness for nonlinear anisotropic elliptic equations
R. Di Nardo, F. Feo
TL;DR
This paper investigates the mathematical conditions under which solutions to certain nonlinear anisotropic elliptic equations exist and are unique, focusing on problems with data in the natural dual space.
Contribution
It establishes existence and uniqueness results for weak solutions to a class of anisotropic elliptic Dirichlet problems with dual space data.
Findings
Proved existence of weak solutions under specified conditions.
Established uniqueness of solutions for the considered class.
Extended the theory to include anisotropic elliptic equations with dual space data.
Abstract
We study the existence and uniqueness for weak solutions to some classes of anisotropic elliptic Dirichlet problems with data belonging to the natural dual space.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Numerical methods in inverse problems