Kaushik Mohanta

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20242026

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math.AP2025

Note on injectivity in second-gradient Nonlinear Elasticity

Stanislav Hencl, Kaushik Mohanta

Let $q > 1$ , $(1 - \frac{1}{q}) a \geq 1$ and let $I^c ◯ \subset R^{2}$ be Lipschitz domain. We show that planar mappings in the second order Sobolev space $f\in W^{2,q}(Î©,\mathbb{R}…

math.AP2025

Limits at infinity for functions in fractional Sobolev spaces

Angha Agarwal, Pekka Koskela, Kaushik Mohanta

We establish optimal results on limits at infinity for functions in fractional Sobolev spaces.