On the exterior Dirichlet problem for special Lagrangian equations
Zhisu Li
TL;DR
This paper proves the existence and uniqueness of solutions to the exterior Dirichlet problem for special Lagrangian equations, ensuring prescribed behavior at infinity, which advances understanding of these geometric PDEs.
Contribution
It establishes the first rigorous existence and uniqueness results for the exterior Dirichlet problem with asymptotic conditions in special Lagrangian equations.
Findings
Existence of solutions under prescribed asymptotic conditions
Uniqueness of solutions for the exterior Dirichlet problem
Framework for analyzing special Lagrangian equations at infinity
Abstract
In this paper, we establish the existence and uniqueness theorem of the exterior Dirichlet problem for special Lagrangian equations with prescribed asymptotic behavior at infinity.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering · Differential Equations and Boundary Problems