A compactness result for an elliptic equation in dimension 2
Samy Skander Bahoura (IHP)
TL;DR
This paper analyzes the behavior of solutions to a specific elliptic equation in two dimensions, providing a blow-up analysis and establishing a compactness result under certain conditions.
Contribution
It introduces a new compactness theorem for solutions of a 2D elliptic equation, enhancing understanding of solution behavior.
Findings
Blow-up analysis of solutions
Derivation of a compactness result
Conditions under which solutions are controlled
Abstract
We give blow-up analysis for the solutions of an elliptic equation under some conditions. Also, we derive a compactness result for this equation.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Differential Equations and Boundary Problems