Results 51 to 60 of about 1,130,981 (257)
Value of first eigenvalue of some minimal hypersurfaces embedded in the unit sphere
AIMS Mathematics, 2023 We prove that the first nonzero eigenvalue of the Laplace-Beltrami operator of equator-like minimal submanifold embedded in the sphere $ S^{n+1} $ is equal to $ n $.
Ibrahim Aldayel
doaj +1 more source
Singular behavior of the Laplace operator in polar spherical coordinates and some of its consequences for the radial wave function at the origin of coordinates [PDF]
Physics of Particles and Nuclei Letters, 2015 Singular behavior of the Laplace operator in spherical coordinates is investigated. It is shown that in course of transition to the reduced radial wave function in the Schrodinger equation there appears additional term consisting the Dirac delta function,
A. Khelashvili, T. Nadareishvili
semanticscholar +1 more source
Electronic Research Archive, 2023 In this paper, we propose a novel, simple, efficient, and explicit numerical method for the Allen–Cahn (AC) equation on effective symmetric triangular meshes.
Youngjin Hwang +5 more
doaj +1 more source
LORETA With Cortical Constraint: Choosing an Adequate Surface Laplacian Operator
Frontiers in Neuroscience, 2018 Low resolution electromagnetic tomography (LORETA) is a well-known method for the solution of the l2-based minimization problem for EEG/MEG source reconstruction. LORETA with a volume-based source space is widely used and much effort has been invested in
Todor Iordanov +7 more
doaj +1 more source
Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform
Advances in Mathematical Physics, 2021 In this paper, our leading objective is to relate the fractional integral operator known as Pδ-transform with the ք-extended Mathieu series. We show that the Pδ-transform turns to the classical Laplace transform; then, we get the integral relating the ...
Hafte Amsalu Kahsay +3 more
doaj +1 more source
Ground State for the Schrödinger Operator with the Weighted Hardy Potential
International Journal of Differential Equations, 2011 We establish the existence of ground states on ℝ𝑁 for the Laplace operator involving the Hardy-type potential. This gives rise to the existence of the principal eigenfunctions for the Laplace operator involving weighted Hardy potentials. We also obtain a
J. Chabrowski, K. Tintarev
doaj +1 more source
Adaptive Discrete Laplace Operator [PDF]
, 2011 Diffusion processes capture information about the geometry of an object such as its curvature, symmetries and particular points. The evolution of the diffusion is governed by the LAPLACE-BELTRAMI operator which presides to the diffusion on the manifold.
Fiorio, Christophe +2 more
openaire +2 more sources
Drifted Laplace operators on homogeneous trees [PDF]
Proceedings of the American Mathematical Society, 2007 We determine the spectrum and the resolvent operator of a drifted Laplace operator on a homogeneous tree, obtaining qualitatively different results according to the sign of the drift in the direction of a boundary point.
CASADIO TARABUSI, Enrico +1 more
openaire +4 more sources
On the Dependence on p of the Variational Eigenvalues of the p-Laplace Operator [PDF]
, 2015 We study the behavior of the variational eigenvalues of the p-Laplace operator, with homogeneous Dirichlet boundary condition, when p is varying. After introducing an auxiliary problem, we characterize the continuity answering, in particular, a question ...
Marco Degiovanni, M. Marzocchi
semanticscholar +1 more source
Brezis Nirenberg type results for local non-local problems under mixed boundary conditions
Communications in Analysis and MechanicsIn this paper, we are concerned with an elliptic problem with mixed Dirichlet and Neumann boundary conditions that involve a mixed operator (i.e., the combination of classical Laplace operator and fractional Laplace operator) and critical nonlinearity ...
Lovelesh Sharma
doaj +1 more source