Existence and non existence results for supercritical systems of Liouville-type equations on simply connected domains

DOI10.1007/s00526-014-0750-9zbMath1330.35453OpenAlexW2013912633MaRDI QIDQ2347174

Daniele Bartolucci

Publication date: 27 May 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-014-0750-9

zbMATH Keywords

existencenon-existencePohozaev-type identitycooperative Liouville systemsLiouville-type systemsOrlicz-spaces techniques

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Stability in context of PDEs (35B35) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Elliptic equations and elliptic systems (35J99) Boundary value problems for second-order elliptic systems (35J57) PDEs in connection with statistical mechanics (35Q82)

Related Items (5)

Global bifurcation analysis of mean field equations and the Onsager microcanonical description of two-dimensional turbulence ⋮ Existence of bubbling solutions for the Liouville system in a torus ⋮ A global existence result for a Keller-Segel type system with supercritical initial data ⋮ Uniform bounds for solutions to elliptic problems on simply connected planar domains ⋮ Degree counting theorems for singular Liouville systems

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