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math.AP2026
Asymptotic Analysis of Laplacian Operator in Thin Domains on the Sphere with Highly Oscillatory Boundary
Naísa C. Garcia, Raquel Lehrer, Marcus A. M. Marrocos
In this work we analyse the convergence of solutions of the Poisson equation with Neumann boundary conditions in a thin domain with highly oscillatory behavior $\mathcal{U}^\vareps…
math.AP2013
Eigenvalues of the Neumann Laplacian in symmetric regions
Marcus A. M. Marrocos, Antônio L. Pereira
In this work we are concerned with the multiplicity of the eigenvalues of the Neumann Laplacian in regions of Rn which are invariant under the natural action of a compact subgroup…