Geodesic
Deficient Coerciveness Estimate for an Abstract Differential Equation with a Parameter Dependent Boundary Conditions
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 535-547.

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In this paper we consider an abstract elliptic differential problem where the equation and the boundary conditions may contain a spectral parameter. We first prove that this problem generates an isomorphism between appropriate spaces and we establish a more precise estimate called coerciveness estimate with defect. The results obtained are applied to study some classes of elliptic, and also possibly degenerate, problems.
In questo lavoro si considera un problema differenziale astratto di tipo ellittico, in cui sia l'equazione che le condizioni ai limiti possono contenere un parametro spettrale. Prima si prova che questo operatore è un isomorfismo tra appropriati spazi funzionali e poi si dimostra una stima coerciva con difetto. I risultati ottenuti sono applicati allo studio di alcune classi di problemi ellittici, anche possibilmente degeneri. 
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Aibeche, Aissa; Favini, Angelo; Mezoued, Chahrazed. Deficient Coerciveness Estimate for an Abstract Differential Equation with a Parameter Dependent Boundary Conditions. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 535-547. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a2/

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