On Singular Liouville Systems
DOI10.1007/978-3-319-04214-5_22zbMath1321.35041OpenAlexW316884362MaRDI QIDQ5261449
Arkady Poliakovsky, Grabriella Tarantello
Publication date: 3 July 2015
Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-04214-5_22
radial solutionsLiouville systems with Dirac measureslogarithm HLS inequalities for systemsooperative systems
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Nonlinear ordinary differential equations and systems (34A34) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
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Cites Work
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- On non-topological solutions for planar Liouville systems of Toda-type
- An improved geometric inequality via vanishing moments, with applications to singular Liouville equations
- Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
- Profile of bubbling solutions to a Liouville system
- Self-dual gauge field vortices. An analytical approach
- Multiplicity results for the assigned Gauss curvature problem in \(\mathbb R^2\)
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on \(S^ n\)
- Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity
- Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)
- Sharp borderline Sobolev inequalities on compact Riemannian manifolds
- Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry
- On the evolution of self-interacting clusters and applications to semilinear equations with exponential nonlinearity
- On the solutions of Liouville systems
- On the positivity of the effective action in a theory of random surfaces
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
- Conformally invariant systems of nonlinear PDE of Liouville type
- Moser-Trudinger and logarithmic HLS inequalities for systems
- Sobolev and Hardy-Littlewood-Sobolev inequalities: duality and fast diffusion
- The logarithmic HLS inequality for systems on compact manifolds
- Moser–Trudinger type inequalities for systems in two dimensions
- On a class of elliptic problems in R2: symmetry and uniqueness results
- THE ROLE OF LIOUVILLE TYPE SYSTEMS IN THE STUDY OF NON-TOPOLOGICAL CHERN-SIMONS VORTICES
- Prescribing Curvature on Compact Surfaces with Conical Singularities
- The role of Onofri type inequalities in the symmetry properties of extremals for Caffarelli-Kohn-Nirenberg inequalities, in two space dimensions
- Moser-Trudinger inequalities and Liouville systems
- Statistical mechanics of classical particles with logarithmic interactions
- Analytic aspects of the Toda system: I. A Moser‐Trudinger inequality
- Self-Dual Chern-Simons Theories