On the Leray-Schauder degree of the Toda system on compact surfaces

DOI10.1090/S0002-9939-2015-12484-7zbMath1315.35086arXiv1311.7375OpenAlexW2061958072MaRDI QIDQ5246924

David Ruiz, Andrea Malchiodi

Publication date: 22 April 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.7375

zbMATH Keywords

Leray-Schauder degreeToda systemgeometric PDEscompact surfaces

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

Related Items (9)

Variational analysis of Toda systems ⋮ A continuum of solutions for the SU(3) Toda System exhibiting partial blow-up: Figure 1. ⋮ Degree counting formula for non-symmetric Toda systems of rank two ⋮ Uniqueness of bubbling solutions with collapsing singularities ⋮ Existence of bubbling solutions without mass concentration ⋮ Analytical issues in the construction of self-dual Chern-Simons vortices ⋮ Degree counting and shadow system for Toda system of rank two: one bubbling ⋮ MIN-MAX schemes for \(\mathrm{SU}(3)\) Toda systems ⋮ Degree counting for Toda system with simple singularity: one point blow up

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