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 2016Show all

3 papers · 1 filter

math.AP2016★ 17 cited

On the strict monotonicity of the first eigenvalue of the $p$ -Laplacian on annuli

T. V. Anoop, Vladimir Bobkov, Sarath Sasi

Let $B_{1}$ be a ball in $R^{N}$ centred at the origin and $B_{0}$ be a smaller ball compactly contained in $B_{1}$ . For $p \in (1, \infty)$ , using the shape derivative method, we s…

math.AP2016★ 15 cited

On sign-changing solutions for $(p, q)$ -Laplace equations with two parameters

Vladimir Bobkov, Mieko Tanaka

We investigate the existence of nodal (sign-changing) solutions to the Dirichlet problem for two-parametric family of partially homogeneous $(p, q)$ -Laplace equations $-Δ_p u -Δ_q u…

math.AP2016★ 4 cited

On some unexpected properties of radial and symmetric eigenvalues and eigenfunctions of the $p$ -Laplacian on a disk

Vladimir Bobkov, Pavel Drabek

We discuss several properties of eigenvalues and eigenfunctions of the $p$ -Laplacian on a ball subject to zero Dirichlet boundary conditions. Among main results, in two dimensions,…

On the strict monotonicity of the first eigenvalue of the p-Laplacian on annuli

On sign-changing solutions for (p,q)-Laplace equations with two parameters

On some unexpected properties of radial and symmetric eigenvalues and eigenfunctions of the p-Laplacian on a disk

On the strict monotonicity of the first eigenvalue of the $p$ -Laplacian on annuli

On sign-changing solutions for $(p, q)$ -Laplace equations with two parameters

On some unexpected properties of radial and symmetric eigenvalues and eigenfunctions of the $p$ -Laplacian on a disk