Quasilinear elliptic problems with multivalued terms
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 803-823
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
We study the quasilinear elliptic problem with multivalued terms.We consider the Dirichlet problem with a multivalued term appearing in the equation and a problem of Neumann type with a multivalued term appearing in the boundary condition. Our approach is based on Szulkin’s critical point theory for lower semicontinuous energy functionals.
Classification :
35J20, 35J60
Keywords: subdifferential; critical point; Palais-Smale condition; Mountain Pass Theorem; Saddle Point Theorem; multivalued term; Dirichlet problem; Neumann problem; p-Laplacian; Rayleigh quotient
Keywords: subdifferential; critical point; Palais-Smale condition; Mountain Pass Theorem; Saddle Point Theorem; multivalued term; Dirichlet problem; Neumann problem; p-Laplacian; Rayleigh quotient
@article{CMJ_2000__50_4_a8,
author = {Halidias, Nikolaos and Papageorgiou, Nikolaos S.},
title = {Quasilinear elliptic problems with multivalued terms},
journal = {Czechoslovak Mathematical Journal},
pages = {803--823},
publisher = {mathdoc},
volume = {50},
number = {4},
year = {2000},
mrnumber = {1792971},
zbl = {1079.35511},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2000__50_4_a8/}
}
TY - JOUR AU - Halidias, Nikolaos AU - Papageorgiou, Nikolaos S. TI - Quasilinear elliptic problems with multivalued terms JO - Czechoslovak Mathematical Journal PY - 2000 SP - 803 EP - 823 VL - 50 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMJ_2000__50_4_a8/ LA - en ID - CMJ_2000__50_4_a8 ER -
Halidias, Nikolaos; Papageorgiou, Nikolaos S. Quasilinear elliptic problems with multivalued terms. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 803-823. http://geodesic.mathdoc.fr/item/CMJ_2000__50_4_a8/