Morse theory for indefinite nonlinear elliptic problems
Kung-Ching Chang, Mei-Yue Jiang (2009)
Annales de l'I.H.P. Analyse non linéaire
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Kung-Ching Chang, Mei-Yue Jiang (2009)
Annales de l'I.H.P. Analyse non linéaire
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Roman Srzednicki (1999)
Banach Center Publications
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The Conley index theory was introduced by Charles C. Conley (1933-1984) in [C1] and a major part of the foundations of the theory was developed in Ph. D. theses of his students, see for example [Ch, Ku, Mon]. The Conley index associates the homotopy type of some pointed space to an isolated invariant set of a flow, just as the fixed point index associates an integer number to an isolated set of fixed points of a continuous map. Examples of isolated invariant sets arise naturally in the...
Rebecca Walo Omana (2007)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we show some results of multiplicity and existence of sign-changing solutions using a mountain pass theorem in ordered intervals, for a class of quasi-linear elliptic Dirichlet problems. As a by product we construct a special pseudo-gradient vector field and a negative pseudo-gradient flow for the nondifferentiable functional associated to our class of problems.
A. Bahri (1985-1986)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Fernández Bonder, Julián (2004)
Abstract and Applied Analysis
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Antonio Ambrosetti (1992)
Mémoires de la Société Mathématique de France
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Silva, Elves A.B. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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