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THE SPECTRUM OF THE 1-LAPLACE OPERATOR
Communications in Contemporary Mathematics, 2009The 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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2017
We consider what is perhaps the most important of all partial differential operators, theLaplace operator (Laplacian) on \(\mathbb {R}^n\).
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We consider what is perhaps the most important of all partial differential operators, theLaplace operator (Laplacian) on \(\mathbb {R}^n\).
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MULTIPLE EIGENVALUES OF THE LAPLACE OPERATOR
Mathematics of the USSR-Sbornik, 1988The 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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A Laplace Operator on Semi-Discrete Surfaces
Foundations of Computational Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A nonholonomic Laplace operator
Journal of Soviet Mathematics, 1993See the review in Zbl 0779.53029.
Vershik, A. M., Gershkovich, V. Ya.
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Horizontal Laplace Operator in Real Finsler Vector Bundles
Acta Mathematica Scientia, 2008 A vector bundle F over the tangent bundle TM of a manifold M is said to be a Finsler vector bundle if it is isomorphic to the pull-back pi*E of a vector bundle E over M([1]).
Tongde, Z, 钟春平, Chunping, Z
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Discrete Laplace–Beltrami operators and their convergence
Computer Aided Geometric Design, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Strong Uniqueness for Laplace and Bi-Laplace Operators in the Limit Case
2001In this article we study some limiting cases of strong unique continuation for inequalities of the type $$ \left| {\Delta u\left( x \right)} \right| \leqslant \frac{A} {{\left| x \right|^2 }}\left| {u\left( x \right)} \right| + \frac{B} {{\left| x \right|}}\left| {\nabla u\left( x \right)} \right| x \in \Omega , $$ (1.1) or $$ \left ...
COLOMBINI, FERRUCCIO, GRAMMATICO C.
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2019
In diesem Kapitel betrachten wir Differentialoperatoren, die in engem Zusammenhang mit der orthogonalen Gruppe der Raumdrehungen im \( {\mathbb{R}}^{n} \) stehen. Zum einen ist dies der sogenannte Laplace Operator \( \Delta = \sum\limits_{i = 1}^{n} {\partial_{i}^{2} } \) , gegeben durch die Summe der zweiten Ableitungen, und zum anderen der Euler ...
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In diesem Kapitel betrachten wir Differentialoperatoren, die in engem Zusammenhang mit der orthogonalen Gruppe der Raumdrehungen im \( {\mathbb{R}}^{n} \) stehen. Zum einen ist dies der sogenannte Laplace Operator \( \Delta = \sum\limits_{i = 1}^{n} {\partial_{i}^{2} } \) , gegeben durch die Summe der zweiten Ableitungen, und zum anderen der Euler ...
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