On Liouville systems at critical parameters. I: One bubble
From MaRDI portal
Publication:390379
DOI10.1016/j.jfa.2013.02.022zbMath1278.35255arXiv1302.1147OpenAlexW2055278186MaRDI QIDQ390379
Publication date: 8 January 2014
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.1147
topological degreea priori estimateclassification theoremPohozaev identityLiouville systemblowup analysisnon-degeneracy of linearized systems
A priori estimates in context of PDEs (35B45) Blow-up in context of PDEs (35B44) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) PDEs on manifolds (35R01)
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Degree counting formula for non-symmetric Toda systems of rank two, On Liouville systems at critical parameters. II: Multiple bubbles, Convergence rate, location and \(\partial_z^2\) condition for fully bubbling solutions to \(\mathrm{SU}(n + 1)\) Toda systems, Existence of bubbling solutions for the Liouville system in a torus, Sharp estimates for fully bubbling solutions of \(B_2\) Toda system, A priori estimates for \(D_4\) and \(F_4\) Toda systems, On rank-2 Toda systems with arbitrary singularities: local mass and new estimates, Estimates of Bubbling Solutions of $SU(3)$ Toda Systems at Critical Parameters. Part 1, Estimates for Liouville equation with quantized singularities, The domain geometry and the bubbling phenomenon of rank two gauge theory, Degree counting and shadow system for Toda system of rank two: one bubbling, Degree counting for Toda system with simple singularity: one point blow up, Sharp estimate for the critical parameters of \(SU(3)\) Toda system with arbitrary singularities. I, Local profile of fully bubbling solutions to \(\mathrm {SU} (n+1)\) Toda systems, Degree counting theorems for singular Liouville systems, Existence and non existence results for supercritical systems of Liouville-type equations on simply connected domains, Bubbling solutions for a skew-symmetric Chern-Simons system in a torus
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