Existence Theorems for the Dirichlet Elliptic Inclusion Involving Exponential-Growth-Type Multivalued Right-Hand Side

Hôǹg Thái Nguyêñ, and Dariusz Pączka. "Existence Theorems for the Dirichlet Elliptic Inclusion Involving Exponential-Growth-Type Multivalued Right-Hand Side." Bulletin of the Polish Academy of Sciences. Mathematics 53.4 (2005): 361-375. <http://eudml.org/doc/281058>.

@article{HôǹgTháiNguyêñ2005,
abstract = {We present two existence results for the Dirichlet elliptic inclusion with an upper semicontinuous multivalued right-hand side in exponential-type Orlicz spaces involving a vector Laplacian, subject to Dirichlet boundary conditions on a domain Ω⊂ ℝ². The first result is obtained via the multivalued version of the Leray-Schauder principle together with the Nakano-Dieudonné sequential weak compactness criterion. The second result is obtained by using the nonsmooth variational technique together with a formula for Clarke's subgradient for Lipschitz integral functionals on "nonregular" Orlicz spaces.},
author = {Hôǹg Thái Nguyêñ, Dariusz Pączka},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Orlicz spaces; non-smooth variational techniques; Clarke's subgradient},
language = {eng},
number = {4},
pages = {361-375},
title = {Existence Theorems for the Dirichlet Elliptic Inclusion Involving Exponential-Growth-Type Multivalued Right-Hand Side},
url = {http://eudml.org/doc/281058},
volume = {53},
year = {2005},
}

TY - JOUR
AU - Hôǹg Thái Nguyêñ
AU - Dariusz Pączka
TI - Existence Theorems for the Dirichlet Elliptic Inclusion Involving Exponential-Growth-Type Multivalued Right-Hand Side
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 4
SP - 361
EP - 375
AB - We present two existence results for the Dirichlet elliptic inclusion with an upper semicontinuous multivalued right-hand side in exponential-type Orlicz spaces involving a vector Laplacian, subject to Dirichlet boundary conditions on a domain Ω⊂ ℝ². The first result is obtained via the multivalued version of the Leray-Schauder principle together with the Nakano-Dieudonné sequential weak compactness criterion. The second result is obtained by using the nonsmooth variational technique together with a formula for Clarke's subgradient for Lipschitz integral functionals on "nonregular" Orlicz spaces.
LA - eng
KW - Orlicz spaces; non-smooth variational techniques; Clarke's subgradient
UR - http://eudml.org/doc/281058
ER -