On the mean field equation with variable intensities on pierced domains

DOI10.1016/j.na.2019.111597zbMath1439.35170arXiv1904.00127OpenAlexW2971409317MaRDI QIDQ2280377

Pablo Figueroa, Pierpaolo Esposito, Angela Pistoia

Publication date: 18 December 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00127

zbMATH Keywords

mean field equationblowing-up solutionspierced domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Blow-up in context of PDEs (35B44)

Related Items (3)

Sign-changing bubble tower solutions for sinh-Poisson type equations on pierced domains ⋮ Blow up solutions for sinh-Gordon equation with residual mass ⋮ A note on a sinh-Poisson type equation with variable intensities on pierced domains

Cites Work

• On the existence and blow-up of solutions for a mean field equation with variable intensities
• 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
• Mountain-pass solutions for a mean field equation from two-dimensional turbulence.
• Singular mean field equations on compact Riemann surfaces
• A general existence result for the Toda system on compact surfaces
• Morse theory and a scalar field equation on compact surfaces
• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
• Classification of blow-up limits for the sinh-Gordon equation.
• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
• Sign-changing tower of bubbles for a sinh-Poisson equation with asymmetric exponents
• Existence and uniqueness for mean field equations on multiply connected domains at the critical parameter
• Mean field equation for the equilibrium turbulence and a related functional inequality
• Multiple blow-up phenomena for the sinh-Poisson equation
• The blow up analysis of solutions of the elliptic sinh-Gordon equation
• Concentrating solutions for a Liouville type equation with variable intensities in 2D-turbulence
• An existence result for the mean-field equation on compact surfaces in a doubly supercritical regime
• Nondegeneracy of entire solutions of a singular Liouvillle equation
• EXISTENCE RESULT FOR THE MEAN FIELD PROBLEM ON RIEMANN SURFACES OF ALL GENUSES
• Topological degree for a mean field equation on Riemann surfaces
• Minimal blow-up masses and existence of solutions for an asymmetric sinh-Poisson equation
• Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces
• 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
• Nontopological Condensates for the Self‐Dual Chern‐Simons‐Higgs Model
• On the supercritical mean field equation on pierced domains

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