Asymptotic non-degeneracy of the multiple blow-up solutions to the Gel'fand problem in two space dimensions
From MaRDI portal
Publication:536523
zbMath1227.35091MaRDI QIDQ536523
Massimo Grossi, Hiroshi Ohtsuka, Takashi Suzuki
Publication date: 18 May 2011
Published in: Advances in Differential Equations (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Blow-up in context of PDEs (35B44) Green's functions for elliptic equations (35J08)
Related Items
Local and global behavior of solutions to 2 D-elliptic equation with exponentially-dominated nonlinearities ⋮ Morse indices of the solutions to the inhomogeneous elliptic equation with exponentially dominated nonlinearities ⋮ Local uniqueness of m-bubbling sequences for the Gel’fand equation ⋮ Non-degeneracy, mean field equations and the Onsager theory of 2D turbulence ⋮ Almost collapse mass quantization in 2D Smoluchowski-Poisson equation ⋮ On the number of peaks of the eigenfunctions of the linearized Gel'fand problem ⋮ Morse Indices of the Solutions to the Liouville-Gel'fand Problem with Variable Coefficients ⋮ Morse Index of Multiple Blow-up Solutions to the Two-Dimensional Sinh-Poisson Equation
