When singular points determine quadratic systems.

Artes, Joan C.; Llibre, Jaume; Vulpe, Nicolae

Displaying similar documents to “When singular points determine quadratic systems.”

Projections of singular vectors of Verma modules over rank 2 Kac-Moody Lie algebras.

Fuchs, Dmitry, Wilmarth, Constance (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Positive solutions to second-order singular differential equations involving the one-dimensional $M$ -Laplace operator.

Tanigawa, Tomoyuki (1999)

Georgian Mathematical Journal

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Decompositions of hypersurface singularities oftype $J_{k, 0}$

Piotr Jaworski (1994)

Annales Polonici Mathematici

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Applications of singularity theory give rise to many questions concerning deformations of singularities. Unfortunately, satisfactory answers are known only for simple singularities and partially for unimodal ones. The aim of this paper is to give some insight into decompositions of multi-modal singularities with unimodal leading part. We investigate the $J_{k, 0}$ singularities which have modality k - 1 but the quasihomogeneous part of their normal form only depends on one modulus.

Estimate of the Hausdorff measure of the singular set of a solution for a semi-linear elliptic equation associated with superconductivity

Junichi Aramaki (2010)

Archivum Mathematicum

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We study the boundedness of the Hausdorff measure of the singular set of any solution for a semi-linear elliptic equation in general dimensional Euclidean space $ℝ^{n}$ . In our previous paper, we have clarified the structures of the nodal set and singular set of a solution for the semi-linear elliptic equation. In particular, we showed that the singular set is $(n - 2)$ -rectifiable. In this paper, we shall show that under some additive smoothness assumptions, the $(n - 2)$ -dimensional Hausdorff measure of...