Nondegeneracy of entire solutions of a singular Liouvillle equation
From MaRDI portal
Publication:3116547
DOI10.1090/S0002-9939-2011-11134-1zbMath1242.35117arXiv1007.3416OpenAlexW2004292226MaRDI QIDQ3116547
Monica Musso, Manuel A. del Pino, Pierpaolo Esposito
Publication date: 24 February 2012
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.3416
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Schrödinger operator, Schrödinger equation (35J10)
Related Items (26)
Existence of mixed type solutions in the Chern-Simons gauge theory of rank two in \(\mathbb{R}^2\) ⋮ Asymmetric blow-up for the \(\mathrm{SU}(3)\) Toda system ⋮ On Non-topological Solutions of the 𝐴₂ and 𝐵₂ Chern-Simons System ⋮ New blow-up phenomena for \(\mathrm{SU}(n+1)\) Toda system ⋮ On non-topological solutions for planar Liouville systems of Toda-type ⋮ Singular limits in Liouville-type equations with mixed interior and boundary singular sources ⋮ Bubbling solutions for the Liouville equation around a quantized singularity in symmetric domains ⋮ Vanishing estimates for Liouville equation with quantized singularities ⋮ Sign-changing bubble tower solutions for sinh-Poisson type equations on pierced domains ⋮ Estimates of bubbling sequences of SU(3)$SU(3)$ Toda systems at critical parameters: Part 2 ⋮ Multiple blow-up phenomena for the sinh-Poisson equation ⋮ Nonradial solutions for the Hénon equation in \(\mathbb R^N\) ⋮ A unified approach of blow-up phenomena for two-dimensional singular Liouville systems ⋮ Blow-up phenomena for the Liouville equation with a singular source of integer multiplicity ⋮ Classification and nondegeneracy of \(SU(n+1)\) Toda system with singular sources ⋮ Concentrating solutions for a two-dimensional elliptic problem with large exponent in weighted nonlinearity ⋮ Sign-changing tower of bubbles for a sinh-Poisson equation with asymmetric exponents ⋮ On the mean field equation with variable intensities on pierced domains ⋮ Construction of nodal bubbling solutions for the weighted sinh-Poisson equation ⋮ A note on a sinh-Poisson type equation with variable intensities on pierced domains ⋮ Blow up at infinity in the SU(3) Chern-Simons model, part I ⋮ Mean Field Equation of Liouville Type with Singular Data: Topological Degree ⋮ SINGULAR LIMITS FOR 2-DIMENSIONAL ELLIPTIC NEUMANN PROBLEM WITH EXPONENTIAL NONLINEARITY AND SINGULAR DATA ⋮ Nontopological Condensates for the Self‐Dual Chern‐Simons‐Higgs Model ⋮ Multi-peak nodal solutions for a two-dimensional elliptic problem with large exponent in weighted nonlinearity ⋮ On the supercritical mean field equation on pierced domains
Cites Work
- Elliptic functions, Green functions and the mean field equations on tori
- Self-dual gauge field vortices. An analytical approach
- Bubbling solutions for relativistic Abelian Chern-Simons model on a torus
- New solutions for Trudinger-Moser critical equations in \(\mathbb R^2\)
- Double vortex condensates in the Chern-Simons-Higgs theory
- Construction of singular limits for a semilinear elliptic equation in dimension 2
- On the existence of blowing-up solutions for a mean field equation
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
- Singular limits in Liouville-type equations
- Concentrating solutions for a planar elliptic problem involving nonlinearities with large exponent
- Singular limits of a two-dimensional boundary value problem arising in corrosion modelling
- On a class of elliptic problems in R2: symmetry and uniqueness results
- Two-dimensional Euler flows with concentrated vorticities
- Point vortices with a rational necklace: New exact stationary solutions of the two-dimensional Euler equation
- Topological degree for a mean field equation on Riemann surfaces
- Multiple condensate solutions for the Chern–Simons–Higgs theory
- Blowup Solutions for a Liouville Equation with Singular Data
This page was built for publication: Nondegeneracy of entire solutions of a singular Liouvillle equation