On the perturbation of eigenvalues for the p-Laplacian;Sur la perturbation des valeurs propres pour le p-Laplacien

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

Volumn 332, Issue 10, 2001, Pages 893-898

  García Melián, Jorge ^a   Sabina De Lis, José ^a  

^a UNIVERSIDAD DE LA LAGUNA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041329375     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(01)01956-5     Document Type: Article

References (8)

1. Anane A. Simplicité et isolation de la première valeur propre du p -Laplacien avec poids. C. R. Acad. Sci. Paris, Série I. 305:1987;725-728.
2. Díaz J.I., Saa J.E. Existence et unicité des solutions positives pour certaines équations elliptiques quasi linéaires. C. R. Acad. Sci. Paris, Série I. 305:1987;521-524.
3. García-Melián J., Gómez-Reñasco R., López-Gómez J., Sabina de Lis J. Point-wise growth and uniqueness of positive solutions for a class of sublinear elliptic problems where bifurcation from infinity occurs. Arch. Rat. Mech. Anal. 145:1998;261-289.
4. Gilbarg D., Trudinger N.S. Elliptic Partial Differential Equations of Second Order. 1983;Springer-Verlag.
5. Kato T. Perturbation Theory for Linear Operators. Classics Math. 1975;Springer-Verlag, Berlín/Nueva York.
6. Lieberman G.M. Boundary regularity for solutions of degenerate elliptic equations. Nonlin. Anal. 12:1988;1203-1219.
7. p-2u=0 , Proc. Amer. Math. Soc. 116 (1992) 583-584.].
8. López-Gómez J., Sabina de Lis J. First variations of principal eigenvalues with respect to the domain and point-wise growth of positive solutions for problems where bifurcation from infinity occurs. J. Differ. Eq. 148:1998;47-64.