2 papers
math.AP2026
The Neumann problem for the generalized Hénon equation. Local analysis
Alexander I. Nazarov, Alexandra P. Shcheglova
For the boundary value problem $$\left\{ \begin{array}{rcll} -Î_p u+u^{p-1}&=&|x|^αu^{q-1}&\mbox{in }Ω,\\ \frac{\displaystyle\partial u}{\displaystyle\partial{\bf n}}&=&0&\mbox{…
math.CA2025
Steklov-type 1D inequalities (a survey)
Alexander I. Nazarov, Alexandra P. Shcheglova
We give a survey of classical and recent results on sharp constants and symmetry/asymmetry of extremal functions in -dimensional functional inequalities.