Multiple blow-up phenomena for the sinh-Poisson equation
From MaRDI portal
Publication:2435014
DOI10.1007/s00205-013-0625-9zbMath1303.35088arXiv1210.5719OpenAlexW2026340572MaRDI QIDQ2435014
Angela Pistoia, Massimo Grossi
Publication date: 3 February 2014
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.5719
Navier-Stokes equations for incompressible viscous fluids (76D05) KdV equations (Korteweg-de Vries equations) (35Q53) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44)
Related Items (23)
A note on a multiplicity result for the mean field equation on compact surfaces ⋮ Sign-changing solutions for the one-dimensional non-local sinh-Poisson equation ⋮ Asymmetric blow-up for the \(\mathrm{SU}(3)\) Toda system ⋮ New blow-up phenomena for \(\mathrm{SU}(n+1)\) Toda system ⋮ Bubbling solutions for the Liouville equation around a quantized singularity in symmetric domains ⋮ A general existence result for the Toda system on compact surfaces ⋮ Asymptotic formulas of the eigenvalues for the linearization of a one-dimensional sinh-Poisson equation ⋮ Sign-changing bubble tower solutions for sinh-Poisson type equations on pierced domains ⋮ 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 ⋮ The blow-up analysis of an affine Toda system corresponding to superconformal minimal surfaces in \(\mathbb{S}^4\) ⋮ Blow-up behavior for a degenerate elliptic \(\sinh \)-Poisson equation with variable intensities ⋮ Blow-up analysis and existence results in the supercritical case for an asymmetric mean field equation with variable intensities ⋮ Analytic aspects of the Tzitzéica equation: blow-up analysis and existence results ⋮ Sign-changing tower of bubbles for a sinh-Poisson equation with asymmetric exponents ⋮ On the mean field equation with variable intensities on pierced domains ⋮ On the topological degree of the mean field equation with two parameters ⋮ Uniform bounds for solutions to elliptic problems on simply connected planar domains ⋮ Construction of nodal bubbling solutions for the weighted sinh-Poisson equation ⋮ Blow up solutions for sinh-Gordon equation with residual mass ⋮ A note on a sinh-Poisson type equation with variable intensities on pierced domains ⋮ Morse Index of Multiple Blow-up Solutions to the Two-Dimensional Sinh-Poisson Equation ⋮ On the supercritical mean field equation on pierced domains
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains
- \(N\)-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations
- On the spectrum of a nonlinear planar problem
- Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem
- Non-simple blow-up solutions for the Neumann two-dimensional sinh-Gordon equation
- Counterexample to a conjecture of H. Hopf
- Large solutions to the volume constrained Plateau problem
- Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence
- Mathematical theory of incompressible nonviscous fluids
- Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)
- Vorticity and turbulence
- Construction of singular limits for a semilinear elliptic equation in dimension 2
- ``Bubble-tower radial solutions in the slightly supercritical Brezis-Nirenberg problem.
- Super-critical boundary bubbling in a semilinear Neumann problem
- The Brezis-Nirenberg problem near criticality in dimension 3
- About \(L^p\) estimates for the spatially homogeneous Boltzmann equation
- Bubble towers for supercritical semilinear elliptic equations
- Singular limits in Liouville-type equations
- Mean field equation for the equilibrium turbulence and a related functional inequality
- Lane Emden problems with large exponents and singular Liouville equations
- The blow up analysis of solutions of the elliptic sinh-Gordon equation
- Multiple bubbling for the exponential nonlinearity in the slightly supercritical case
- Tower of bubbles for almost critical problems in general domains
- On a class of elliptic problems in R2: symmetry and uniqueness results
- Nondegeneracy of entire solutions of a singular Liouvillle equation
- Another exact solution for two-dimensional, inviscid sinh Poisson vortex arrays
- A row of counter-rotating vortices
- Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains
- Existence and qualitative properties of concentrating solutions for the sinh-Poisson equation
- Inviscid two dimensional vortex dynamics and a soliton expansion of the sinh-Poisson equation
This page was built for publication: Multiple blow-up phenomena for the sinh-Poisson equation