On the existence and blow-up of solutions for a mean field equation with variable intensities

DOI10.4171/RLM/741zbMath1454.35190arXiv1509.05204MaRDI QIDQ333000

Gabriella Zecca, Ryo Takahashi, Tonia Ricciardi, Zhang Xiao

Publication date: 9 November 2016

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05204

zbMATH Keywords

blow-up solutionsmean field equationturbulent Euler flow

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Blow-up in context of PDEs (35B44) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (11)

The point vortex model for the Euler equation ⋮ Sign-changing bubble tower solutions for sinh-Poisson type equations on pierced domains ⋮ On Radial two-species Onsager vortices near the critical temperature ⋮ A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects ⋮ Blow-up behavior for a degenerate elliptic \(\sinh \)-Poisson equation with variable intensities ⋮ Blow-up analysis and existence results in the supercritical case for an asymmetric mean field equation with variable intensities ⋮ Analytic aspects of the Tzitzéica equation: blow-up analysis and existence results ⋮ Symmetry and uniqueness of solutions to some Liouville-type equations and systems ⋮ On the mean field equation with variable intensities on pierced domains ⋮ On the topological degree of the mean field equation with two parameters ⋮ A note on a sinh-Poisson type equation with variable intensities on pierced domains

This page was built for publication: On the existence and blow-up of solutions for a mean field equation with variable intensities