V. Bobkov

collaborators

2 papers

math.AP2026

Remarks on the antimaximum principle

Vladimir Bobkov

We present several observations on the antimaximum principle (AMP) for the model problem $- Δ_{p} u = λ ∣ u ∣^{p - 2} u + f$ in a bounded smooth domain $Ω$ , subject to the zero Dirichlet b…

math.AP2025

On Rayleigh quotients connected to $p$ -Laplace equations with polynomial nonlinearities

Vladimir Bobkov, Mieko Tanaka

Let $I^c ◯$ be a bounded open set and $p, q, r > 1$ . The main observation of the present work is the following: $W_{0}^{1, p} (I^c ◯)$ -solutions of the equation $-Î_p u = Î¼|u|^{q-2}u + |u|^{r-…

Remarks on the antimaximum principle

On Rayleigh quotients connected to p-Laplace equations with polynomial nonlinearities

On Rayleigh quotients connected to $p$ -Laplace equations with polynomial nonlinearities