Results 251 to 260 of about 12,008 (303)

Harmonic fields and the mechanical response of a cellular monolayer to ablation. [PDF]

J Math Biol
Jensen OE, Revell CK.
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Generalized Euler method to study the vaccination effects on dynamics of measles infection model under non-singular kernel. [PDF]

Sci Rep
Yadav LK, Gour MM, Purohit SD, Al-Mdallal Q, Suthar DL.   +4 more
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Evolution problems with perturbed 1-Laplacian type operators on random walk spaces. [PDF]

Math Ann
Górny W, Mazón JM, Toledo J.
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A Unifying Framework for Complex-Valued Eigenfunctions via The Cartan Embedding. [PDF]

J Geom Anal
Gudmundsson S, Lindström A.
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On The Attainable Eigenvalues of the Laplace Operator

SIAM Journal on Mathematical Analysis, 1999
Summary: We consider the subset \(E\) of \(\mathbb{R}^2\) of all points whose first and second components, respectively, coincide with the first and second eigenvalues of the Laplace operator \(-\Delta\) with zero boundary conditions on domains of \(\mathbb{R}^N\) with prescribed measure. We show that the set \(E\) is closed in \(\mathbb{R}^2\).
Dorin Bucur, Giuseppe Buttazzo, Isabel N Figueiredo   +2 more
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The Laplace Operator

2018
The fundamental properties of harmonic and subharmonic functions are given together with maximum principles, the representation of solutions of the Poisson equation, Weyl’s lemma and Perron’s method for proving existence of solutions of the Dirichlet problem.
David E. Edmunds, W. Desmond Evans
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Discrete Laplace operators

ACM SIGGRAPH ASIA 2008 courses on - SIGGRAPH Asia '08, 2008
Discrete Laplace operators are ubiquitous in applications spanning geometric modeling to simulation. For robustness and efficiency, many applications require discrete operators that retain key structural properties inherent to the continuous setting. Building on the smooth setting, we present a set of natural properties for discrete Laplace operators ...
Max Wardetzky, Saurabh Mathur 0003, Felix Kälberer, Eitan Grinspun   +3 more
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THE SPECTRUM OF THE 1-LAPLACE OPERATOR

Communications in Contemporary Mathematics, 2009
The eigenfunction of the 1-Laplace operator is defined to be a critical point in the sense of the strong slope for a nonsmooth constraint variational problem. We completely write down all these eigenfunctions for the 1-Laplace operator on intervals.
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MULTIPLE EIGENVALUES OF THE LAPLACE OPERATOR

Mathematics of the USSR-Sbornik, 1988
The estimates from above for the multiplicity of the eigenvalues of the Schrödinger operators on compact Riemannian two-dimensional manifolds are obtained. The paper contains also several examples illustrating the sharpness of the results.
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