Author

M. Mišur

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Preprint Sep 2026

Sharp Volume-Based Bounds for BMO Functions on Compact Domains and Applications

We establish sharp localized $L^r$ bounds for compactly supported functions of bounded mean oscillation (BMO). Classical estimates obtained via the John-Nirenberg inequality bound the $L^r$ norm of such a function in terms of the diameter of its support. We show that the diameter dependence can be replaced by the Lebes...

M. Mišur · 0 citations

Preprint Aug 2026

Logarithmic Resonance at Mixed Boundary Junctions in Gradient-Dependent Semilinear Equationsv

The regularity of solutions to elliptic partial differential equations degrades severely at mixed Dirichlet-Neumann boundary junctions, characterized classically by an $\mathcal{O}(r^{1/2})$ leading singular function. While this linear behavior is well documented, the introduction of gradient-dependent semilinear pertu...

M. Mišur · 0 citations

Preprint Aug 2026

Global $L^p$ Second Commutation Lemma

We prove the second commutation lemma for the Lebesgue spaces $L^p({\bf R}^d)$, $1<p<\infty$, on the whole unbounded domain, extending the $L^2$ theory of Tartar (1990) to the Banach-space framework of H-distributions. Unlike the $L^2$ setting, where the Plancherel isometry and Hilbert-space compactness are available,...

M. Mišur · 0 citations