V. Bobkov

activity

20182026

collaborators

Showing 2023Show all

3 papers · 1 filter

math.AP2023

Reverse Faber-Krahn and Szego-Weinberger type inequalities for annular domains under Robin-Neumann boundary conditions

T. V. Anoop, Vladimir Bobkov, Pavel Drabek

Let $τ_{k} (Ω)$ be the $k$ -th eigenvalue of the Laplace operator in a bounded domain $Ω$ of the form $Ω_{out} ∖ B_{α}$ under the Neumann boundary condition on…

math.AP2023

Abstract multiplicity results for $(p, q)$ -Laplace equations with two parameters

Vladimir Bobkov, Mieko Tanaka

We investigate the existence and multiplicity of abstract weak solutions of the equation $- Δ_{p} u - Δ_{q} u = α ∣ u ∣^{p - 2} u + β ∣ u ∣^{q - 2} u$ in a bounded domain under zero Dirichlet boundary…

math.AP2023

Nonuniqueness for fractional parabolic equations with sublinear power-type nonlinearity

Jiří Benedikt, Vladimir Bobkov, Raj Narayan Dhara +1

We show that the parabolic equation $u_{t} + (- Δ)^{s} u = q (x) ∣ u ∣^{α - 1} u$ posed in a time-space cylinder $(0, T) \times R^{N}$ and coupled with zero initial condition and zero…

Reverse Faber-Krahn and Szego-Weinberger type inequalities for annular domains under Robin-Neumann boundary conditions

Abstract multiplicity results for (p,q)-Laplace equations with two parameters

Nonuniqueness for fractional parabolic equations with sublinear power-type nonlinearity

Abstract multiplicity results for $(p, q)$ -Laplace equations with two parameters