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Mixed local-nonlocal eigenvalue problems in the Heisenberg group: spectral theory and singular multiplicity

Garain, Prashanta et al.
arXiv (OAI Expanded) · Papers
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analysis-of-pdes
This paper investigates nonlinear eigenvalue problems governed by a family of operators that combine two distinct diffusion mechanisms: a classical local diffusion, which accounts for short-range interactions, and a fractional nonlocal diffusion, which captures long-range effects. The analysis is ca
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