Global compactness results for fractional sub-Laplacian in the Heisenberg group via -convergence

Key Points

• Global compactness is observed for fractional sub-Laplacian in the Heisenberg group, representing a key finding.
• The analysis establishes a Γ-convergence approach to support these compactness results in the framework of geometric analysis.
• Methods include techniques from nonlinear analysis to derive the implications of the findings, enhancing theoretical understanding.
• These findings suggest a broader relevance for applications in fractional PDEs and geometric measure theory.