On the Blow-Up of Solutions to Liouville-Type Equations

DOI10.1515/ans-2015-5015zbMath1338.58015OpenAlexW2434945486MaRDI QIDQ2789498

Gabriella Zecca, Tonia Ricciardi

Publication date: 1 March 2016

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2015-5015

zbMATH Keywords

blow-upLiouville equationmean field equationpeak solutionscompact Riemannian 2-manifold without boundary

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Variational methods for second-order elliptic equations (35J20) Blow-up in context of PDEs (35B44) PDEs on manifolds (35R01)

Related Items (3)

Local and global behavior of solutions to 2 D-elliptic equation with exponentially-dominated nonlinearities ⋮ Existence of stationary turbulent flows with variable positive vortex intensity ⋮ Blow-up behavior for a degenerate elliptic \(\sinh \)-Poisson equation with variable intensities

Cites Work

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• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Une remarque sur le comportement asymptotique des solutions de -Δu=λƒ(u)
• Ginzburg-Landau vortices

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