Existence, localization, and instability of solution in presence of non-well-ordered lower and upper solutions;Existence et localisation de solution instable en présence de sur-et sous-solutions pas bien ordonnées

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 326, Issue 8, 1998, Pages 935-940

  De Coster, Colette ^a  

^a Maison de la Recherche Blaise Pascal   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032041648     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(98)80117-1     Document Type: Article

References (8)

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3. [3] De Coster C., Henrard M., Existence and localization of solution for elliptic problem in presence of lower and upper solutions without any order, to appear in J. Differ. Eq.
4. [4] De Coster C., Oman P., Unstable periodic solutions for a parabolic problem in presence of non-well-ordered lower and upper solutions, (to appear).
5. [5] Habets P., Oman P., Existence and localization of solutions of second order elliptic problems using lower and upper solutions in the reversed order, Top. Meth. Nonlinear Anal. 8 (1996) 25-56.
6. [6] Nagumo M., On principally linear elliptic differential equations of the second order, Osaka Math. J. 6 (1954) 207-229.
7. [7] Sattinger D.H., Monotone methods in nonlinear elliptic and parabolic boundary value problems, Indiana Univ. Math. J. 21 (1972) 979-1000.
8. [8] Scorza Dragoni G., Il problema dei valori ai limiti studiato in grande per le equazioni differenziali del secondo ordine, Giornale di Mat. (Battaglini) 69 (1931) 77-112.