On non-topological solutions for planar Liouville systems of Toda-type
DOI10.1007/s00220-016-2662-3zbMath1353.35157arXiv1508.00149OpenAlexW1942600705MaRDI QIDQ328190
Arkady Poliakovsky, Grabriella Tarantello
Publication date: 20 October 2016
Published in: Journal of Differential Equations, Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.00149
Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) PDEs in connection with relativity and gravitational theory (35Q75) Second-order elliptic systems (35J47) Blow-up in context of PDEs (35B44) Open systems, reduced dynamics, master equations, decoherence (81S22) Symmetries, invariants, etc. in context of PDEs (35B06) PDEs in connection with astronomy and astrophysics (35Q85)
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Cites Work
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- On non-topological solutions for planar Liouville systems of Toda-type
- Blow-up analysis for a cosmic strings equation
- Asymptotic behavior and symmetry of condensate solutions in electroweak theory
- Non-abelian Chern-Simons vortices
- On non-topological solutions of the \(\mathbf{G}_2\) Chern-Simons system
- Selfgravitating electroweak strings
- On the best constant in the Moser-Onofri-Aubin inequality
- Fractional and semi-local non-Abelian Chern-Simons vortices
- Existence of self-dual non-topological solutions in the Chern-Simons Higgs model
- Existence of multistring solutions of the self-gravitating massive \(W\)-boson
- Profile of bubbling solutions to a Liouville system
- Self-dual gauge field vortices. An analytical approach
- Analytical, geometrical and topological aspects of a class of mean field equations on surfaces
- \(SO\) and \(USp\) Kähler and hyper-Kähler quotients and lumps
- Multiplicity results for the assigned Gauss curvature problem in \(\mathbb R^2\)
- Uniqueness and structure of solutions to the Dirichlet problem for an elliptic system
- Classification of solutions of some nonlinear elliptic equations
- Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity
- The existence of non-topological solitons in the self-dual Chern-Simons theory
- Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)
- Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry
- Self duality of the gauge field equations and the cosmological constant
- On the solutions of Liouville systems
- Uniqueness of solutions to the mean field equations for the spherical Onsager vortex
- Symmetry results for finite-temperature, relativistic Thomas-Fermi equations
- Classification and nondegeneracy of \(SU(n+1)\) Toda system with singular sources
- Liouville type equations with singular data and their applications to periodic multivortices for the electroweak theory
- Non-topological multi-vortex solutions to the self-dual Chern-Simons-Higgs equation
- On planar selfdual electroweak vortices
- Vortex condensation in the Chern-Simons Higgs model: An existence theorem
- Topological solutions in the self-dual Chern-Simons theory: Existence and approximation
- Conformally invariant systems of nonlinear PDE of Liouville type
- Non-Abelian Chern-Simons vortices with generic gauge groups
- Chern-Simons vortices in the Gudnason model
- Self-dual symmetric nontopological solutions in the \(\mathrm{SU}(3)\) model in \(\mathbb R^2\)
- Classification and sharp range of flux-pairs for radial solutions to a coupled system
- Existence theorems for non-abelian Chern-Simons-Higgs vortices with flavor
- Classification of blowup limits for \(\mathrm{SU}(3)\) singular Toda systems
- Moser-Trudinger and logarithmic HLS inequalities for systems
- Classification of radial solutions to Liouville systems with singularities
- Doubly periodic self-dual vortices in a relativistic non-abelian Chern-Simons model
- On the entire radial solutions of the Chern-Simons SU(3) system
- Existence of a semilinear elliptic system with exponential nonlinearities
- Classification of the entire radial self-dual solutions to non-abelian Chern-Simons systems
- 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
- Supersymmetric solitons
- Uniqueness and symmetry results for solutions of a mean field equation on 𝕊2 via a new bubbling phenomenon
- Nondegeneracy of entire solutions of a singular Liouvillle equation
- A topological degree counting for some Liouville systems of mean field type
- Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
- Moser-Trudinger inequalities and Liouville systems
- Statistical mechanics of classical particles with logarithmic interactions
- Self-dual Chern-Simons vortices
- Multivortex solutions of the Abelian Chern-Simons-Higgs theory
- Analytic aspects of the Toda system: I. A Moser‐Trudinger inequality
- Self-Dual Chern-Simons Theories
- On Singular Liouville Systems
- Multiple condensate solutions for the Chern–Simons–Higgs theory
- Vortex condensates for the SU(3) Chern-Simons theory
- The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory
- On a general \(\mathrm{SU}(3)\) Toda system