Geodesic
The p -Laplacian - Mascot of Nonlinear Analysis
Acta mathematica Universitatis Comenianae, Tome 76 (2007) no. 1 
P. Drabek. The p -Laplacian - Mascot of Nonlinear Analysis. Acta mathematica Universitatis Comenianae, Tome 76 (2007) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2007_76_1_a8/
@article{AMUC_2007_76_1_a8,
     author = {P. Drabek},
     title = {The p {-Laplacian} - {Mascot} of {Nonlinear} {Analysis}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2007},
     volume = {76},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2007_76_1_a8/}
}
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AU  - P. Drabek
TI  - The p -Laplacian - Mascot of Nonlinear Analysis
JO  - Acta mathematica Universitatis Comenianae
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UR  - http://geodesic.mathdoc.fr/item/AMUC_2007_76_1_a8/
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%J Acta mathematica Universitatis Comenianae
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%U http://geodesic.mathdoc.fr/item/AMUC_2007_76_1_a8/
%F AMUC_2007_76_1_a8

Voir la notice de l'article provenant de la source Comenius University

In this paper we give survey of the results concerning the solvability of certain quasilinear boundary value problems which contain the p -Laplacian as a main part. Special attention is paid to the resonance problems which lead naturally to the study of spectral properties of nonlinear operators. Besides statements of principal results in the historical context we also mention some open problems which seem to be a great challenge for nonlinear analysts.