Quasilinear elliptic problems with multivalued terms

Nikolaos Halidias; Nikolaos S. Papageorgiou

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 4, page 803-823
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Halidias, Nikolaos, and Papageorgiou, Nikolaos S.. "Quasilinear elliptic problems with multivalued terms." Czechoslovak Mathematical Journal 50.4 (2000): 803-823. <http://eudml.org/doc/30601>.

@article{Halidias2000,
abstract = {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.},
author = {Halidias, Nikolaos, Papageorgiou, Nikolaos S.},
journal = {Czechoslovak Mathematical Journal},
keywords = {subdifferential; critical point; Palais-Smale condition; Mountain Pass Theorem; Saddle Point Theorem; multivalued term; Dirichlet problem; Neumann problem; p-Laplacian; Rayleigh quotient; subdifferential; critical point; Palais-Smale condition; Mountain Pass Theorem; Saddle Point Theorem; multivalued term},
language = {eng},
number = {4},
pages = {803-823},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Quasilinear elliptic problems with multivalued terms},
url = {http://eudml.org/doc/30601},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Halidias, Nikolaos
AU - Papageorgiou, Nikolaos S.
TI - Quasilinear elliptic problems with multivalued terms
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 4
SP - 803
EP - 823
AB - 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.
LA - eng
KW - subdifferential; critical point; Palais-Smale condition; Mountain Pass Theorem; Saddle Point Theorem; multivalued term; Dirichlet problem; Neumann problem; p-Laplacian; Rayleigh quotient; subdifferential; critical point; Palais-Smale condition; Mountain Pass Theorem; Saddle Point Theorem; multivalued term
UR - http://eudml.org/doc/30601
ER -

References

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