Abstract Background and Aims Minimal change disease (MCD), a predominantly pediatric disease, is less common in adults. Patients often present with florid hypervolemia, manifested by significant lower extremity edema, anasarca, pericardial effusion or pleural effusion. Herein, we case of newly diagnosed MCD an elderly gentleman atypical presentation. Method A 69 year old male hypertension benig...

Given a free product of groups G=⁎j∈JAj and natural number n, what is the minimal possible commutator length an element gn∈G not conjugate to elements factors? We give exhaustive answer this question.

We adapt the viscosity method introduced by Rivière (Publ Math Inst Hautes Études Sci 126:177–246, 2017. https://doi.org/10.1007/s10240-017-0094-z ) to free boundary case. Namely, given a compact oriented surface $$\Sigma $$ , possibly with boundary, closed ambient Riemannian manifold $$({\mathcal {M}}^m,g)$$ and embedded submanifold $${\mathcal {N}}^n\subset {\mathcal {M}}$$ we study asymptoti...