37 citations · 203 across the 35 of their papers we have counts for
5 papers · 2 filters
On a property of the nodal set of least energy sign-changing solutions for quasilinear elliptic equations
Vladimir Bobkov, Sergei Kolonitskii
In this note we prove the Payne-type conjecture about the behaviour of the nodal set of least energy sign-changing solutions for the equation in bounded Steiner sym…
On the higher Cheeger problem
Vladimir Bobkov, Enea Parini
We develop the notion of higher Cheeger constants for a measurable set . By the -th Cheeger constant we mean the value \[h_k(Ω) = \inf \max \{h_1(E_1), \d…
Remarks on minimizers for -Laplace equations with two parameters
Vladimir Bobkov, Mieko Tanaka
We study in detail the existence, nonexistence and behavior of global minimizers, ground states and corresponding energy levels of the -Laplace equation $-Δ_p u -Δ_q u = α|u…
On multiplicity of eigenvalues and symmetry of eigenfunctions of the -Laplacian
Benjamin Audoux, Vladimir Bobkov, Enea Parini
We investigate multiplicity and symmetry properties of higher eigenvalues and eigenfunctions of the -Laplacian under homogeneous Dirichlet boundary conditions on certain symmetr…
On qualitative properties of solutions for elliptic problems with the -Laplacian through domain perturbations
Vladimir Bobkov, Sergey Kolonitskii
We study the dependence of least nontrivial critical levels of the energy functional corresponding to the zero Dirichlet problem in a bounded domain $Ω\subset \math…