V. Bobkov

activity

20142026

(p, q)

-Laplace equations with two parameters

37 citations · 203 across the 35 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.AP2022★ 3 cited

Improved Friedrichs inequality for a subhomogeneous embedding

Vladimir Bobkov, Sergey Kolonitskii

For a smooth bounded domain $Ω$ and $p \geq q \geq 2$ , we establish quantified versions of the classical Friedrichs inequality $∥\nabla u ∥_{p}^{p} - λ_{1} ∥ u ∥_{q}^{p} \geq 0$ , $u \in W_0…

math.AP2022★ 3 cited

On the antimaximum principle for the $p$ -Laplacian and its sublinear perturbations

Vladimir Bobkov, Mieko Tanaka

We investigate qualitative properties of weak solutions of the Dirichlet problem for the equation $- Δ_{p} u = λm (x) ∣ u ∣^{p - 2} u + η a (x) ∣ u ∣^{q - 2} u + f (x)$ in a bounded domain $Ω\subset…

math.CA2022

Basisness and completeness of Fucik eigenfunctions for the Neumann Laplacian

Falko Baustian, Vladimir Bobkov

We investigate the basis properties of sequences of Fucik eigenfunctions of the one-dimensional Neumann Laplacian. We show that any such sequence is complete in $L^{2} (0, π)$ and a Ri…

Improved Friedrichs inequality for a subhomogeneous embedding

On the antimaximum principle for the p-Laplacian and its sublinear perturbations

Basisness and completeness of Fucik eigenfunctions for the Neumann Laplacian

On the antimaximum principle for the $p$ -Laplacian and its sublinear perturbations