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math.AP2026
Weighted Neumann-to-Steklov limits for nonlinear eigenvalues and trace constants
Alexander Menovschikov
We study a nonlinear Neumann-to-Steklov limit generated by a family of interior weights concentrating at the boundary. On a class of admissible possibly irregular domains obtained…
math.AP2023
Eigenvalues of the Neumann Laplacian with density and sharp Sobolev-Orlicz embeddings
Alexander Menovschikov
We provide the estimates for the constant in the weighted Poincaré inequality for a special class of planar domains and weights. Based on this, we prove the lower bounds for the fi…
math.AP2022
Injectivity in second-gradient Nonlinear Elasticity
D. Campbell, S. Hencl, A. Menovschikov +1
We study injectivity for models of Nonlinear Elasticity that involve the second gradient. We assume that is a domain, satisfie…