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Multiple bubbling for the exponential nonlinearity in the slightly supercritical case

Del Pino, Manuel; Dolbeault, Jean; Musso, Monica (2006), Multiple bubbling for the exponential nonlinearity in the slightly supercritical case, Communications on Pure and Applied Analysis, 5, 3, p. 463-482. http://dx.doi.org/10.3934/cpaa.2006.5.463

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Type
Article accepté pour publication ou publié
Date
2006
Journal name
Communications on Pure and Applied Analysis
Volume
5
Number
3
Publisher
American Institute of Mathematical Sciences
Pages
463-482
Publication identifier
Metadata
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Author(s)
Del Pino, Manuel
Dolbeault, Jean cc
Musso, Monica
Abstract (EN)
We consider radial solutions of an equation involving a p-Laplacian type operator and an exponential nonlinearity in dimension n, which turns out to be critical for p = n. For such a nonlinearity, the equation can be reduced to an autonomous ODE, thus allowing a very precise study of the multi-bubbling phenomenon as the solutions in the critical case are approached by solutions corresponding to the supercritical case p
Subjects / Keywords
Gelfand's problem; bifurcation branches; p-Laplacian; bubble-towers; phase-plane analysis