Sur les solutions radiales de l'équation −Δu = u(1 − ¦u¦2) dans ℝN (N ≥ 3)

DOI10.1016/S0764-4442(97)84768-4zbMath0890.35044OpenAlexW2086710163MaRDI QIDQ4379167

Vardan Akopian, Alberto Farina

Publication date: 1997

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(97)84768-4

zbMATH Keywords

existencecomplete description of radial solution

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

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Two results on entire solutions of Ginzburg-Landau system in higher dimensions ⋮ Gradient map of isoparametric polynomial and its application to Ginzburg-Landau system ⋮ Two results on the equivariant Ginzburg-Landau vortex in arbitrary dimension ⋮ Pattern formation in Landau-de Gennes theory ⋮ Radial minimizers of \(p\)-Ginzburg-Landau type with \(p\in (n - 1,n)\) ⋮ Symmetry in nonlinear PDEs: some open problems ⋮ Symmetry of local minimizers for the three-dimensional Ginzburg-Landau functional ⋮ Towards a counter-example to a conjecture of De Giorgi in high dimensions ⋮ Qualitative study of radial solutions of the Ginzburg-Landau system in \(\mathbb{R}^N\) \((N\geq 3)\)

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