Results 31 to 40 of about 447 (58)

Spectral properties of higher order anharmonic oscillators [PDF]

open access: yes, 2009
We discuss spectral properties of the self-adjoint operator \[ -d^2/dt^2 + (t^{k+1}/(k+1)-\alpha)^2 \] in $L^2(\mathbb{R})$ for odd integers $k$. We prove that the minimum over $\alpha$ of the ground state energy of this operator is attained at a unique ...
Helffer, Bernard, Persson, Mikael
core  

On the Gauss map of quadric surfaces

open access: yes, 2019
In this paper, we study quadric surfaces in the 3-dimensional Euclidean space whose Gauss map n is of coordinate finite I-type, i.e., the position vector n satisfies the relation {\Delta}In = {\Lambda}n, where {\Delta}I is the Laplace operator with ...
Al-Zoubi, Hassan
core  

Expansion of eigenvalues of the perturbed discrete bilaplacian. [PDF]

open access: yesMon Hefte Math, 2022
Kholmatov SY   +2 more
europepmc   +1 more source

Perron-Frobenius and Krein-Rutman theorems for tangentially positive operators

open access: yesOpen Mathematics, 2012
Kanigowski Adam, Kryszewski Wojciech
doaj   +1 more source
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