172 citations · 231 across the 17 of their papers we have counts for
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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…
A free boundary approach to the Rosensweig instability of ferrofluids
Enea Parini, Athanasios Stylianou
We establish the existence of saddle points for a free boundary problem describing the two-dimensional free surface of a ferrofluid which undergoes normal field instability (also k…
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…
The Eigenvalue Problem for the -Bilaplacian
Nikos Katzourakis, Enea Parini
We consider the problem of finding and describing minimisers of the Rayleigh quotient \[ Λ_\infty \, :=\, \inf_{u\in \mathcal{W}^{2,\infty}(Ω)\setminus\{0\} }\frac{\|Δu\|_{L^\infty…