This work is concerned about applicability of Morse Theory to a class of quasilinear problems whose solutions are critical points of a functional defined on a Sobolev Banach space which has not a Hilbert structure. The work explains what kinds of difficulties arise, shows the crucial role of critical groups and finally announces a result about the computation of such critical groups.
Critical groups estimates for a soliton type problem / Vannella, Giuseppina. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 47:9(2001), pp. 5999-6008. [10.1016/S0362-546X(01)00694-0]
Critical groups estimates for a soliton type problem
VANNELLA, Giuseppina
2001
Abstract
This work is concerned about applicability of Morse Theory to a class of quasilinear problems whose solutions are critical points of a functional defined on a Sobolev Banach space which has not a Hilbert structure. The work explains what kinds of difficulties arise, shows the crucial role of critical groups and finally announces a result about the computation of such critical groups.File in questo prodotto:
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