Quasilinear elliptic problems with multivalued terms
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 803-823
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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.
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},
year = {2000},
volume = {50},
number = {4},
mrnumber = {1792971},
zbl = {1079.35511},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2000_50_4_a8/}
}
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/