Morse Indices of Multiple Blow-Up Solutions to the Two-Dimensional Gel'fand Problem

DOI10.1080/03605302.2014.930485zbMath1304.35468arXiv1210.1373OpenAlexW2120501243MaRDI QIDQ2931976

Hiroshi Ohtsuka, Francesca Gladiali, Massimo Grossi, Takashi Suzuki

Publication date: 28 November 2014

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1373

zbMATH Keywords

Hamiltoniancritical pointsMorse indicesblow-up solutionsGel'fand problem

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Blow-up in context of PDEs (35B44)

Related Items (7)

Qualitative properties of multi-bubble solutions for nonlinear elliptic equations involving critical exponents ⋮ Local and global behavior of solutions to 2 D-elliptic equation with exponentially-dominated nonlinearities ⋮ Refinement of asymptotic behavior of the eigenvalues for the linearized Liouville-Gel'fand problem ⋮ Morse indices of the solutions to the inhomogeneous elliptic equation with exponentially dominated nonlinearities ⋮ 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

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