Sign-changing bubble tower solutions for sinh-Poisson type equations on pierced domains

DOI10.1016/j.jde.2023.05.013zbMath1518.35386arXiv2301.01845OpenAlexW4378648105MaRDI QIDQ6155341

Pablo Figueroa

Publication date: 12 June 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.01845

zbMATH Keywords

semilinear equation with Laplacianexistence of sign-changing bubble tower solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• On the existence and blow-up of solutions for a mean field equation with variable intensities
• 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
• Mountain-pass solutions for a mean field equation from two-dimensional turbulence.
• A general existence result for the Toda system on compact surfaces
• \(N\)-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations
• Non-simple blow-up solutions for the Neumann two-dimensional sinh-Gordon equation
• Morse theory and a scalar field equation on compact surfaces
• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
• On the existence of blowing-up solutions for a mean field equation
• Classification of blow-up limits for the sinh-Gordon equation.
• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
• Sign-changing tower of bubbles for a sinh-Poisson equation with asymmetric exponents
• Existence and uniqueness for mean field equations on multiply connected domains at the critical parameter
• On the mean field equation with variable intensities on pierced domains
• Singular limits in Liouville-type equations
• Mean field equation for the equilibrium turbulence and a related functional inequality
• Multiple blow-up phenomena for the sinh-Poisson equation
• The blow up analysis of solutions of the elliptic sinh-Gordon equation
• Singular limits for Liouville-type equations on the flat two-torus
• Concentrating solutions for a Liouville type equation with variable intensities in 2D-turbulence
• An existence result for the mean-field equation on compact surfaces in a doubly supercritical regime
• Nondegeneracy of entire solutions of a singular Liouvillle equation
• EXISTENCE RESULT FOR THE MEAN FIELD PROBLEM ON RIEMANN SURFACES OF ALL GENUSES
• Topological degree for a mean field equation on Riemann surfaces
• Minimal blow-up masses and existence of solutions for an asymmetric sinh-Poisson equation
• Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces
• On the topological degree of the mean field equation with two parameters
• A note on a sinh-Poisson type equation with variable intensities on pierced domains
• On the supercritical mean field equation on pierced domains
• Existence and qualitative properties of concentrating solutions for the sinh-Poisson equation

This page was built for publication: Sign-changing bubble tower solutions for sinh-Poisson type equations on pierced domains