A compactness result for an equation with Holderian condition
Samy Skander Bahoura (IHP), Skander Samy
TL;DR
This paper analyzes blow-up behavior and establishes a compactness criterion for a PDE with a Holderian boundary condition, extending previous results by Brezis and Merle.
Contribution
It provides a new blow-up analysis and a compactness criterion for equations with Holderian conditions, advancing understanding of solution behavior.
Findings
Derived a blow-up analysis for the PDE with Holderian boundary condition.
Established a compactness criterion for solutions under the given conditions.
Extended previous work by Brezis and Merle to new boundary conditions.
Abstract
We give blow-up analysis for a Brezis and Merle's problem with Dirichlet and Holderian condition. Also, we derive a compactness criterion.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Functional Equations Stability Results · Mathematical Dynamics and Fractals