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Non-linear elliptic unilateral problems with two lower-order terms in Orlicz spaces
This paper is devoted to the existence of solutions in the context of Orlicz spaces for strongly nonlinear elliptic unilateral problems with a Leray-Lions operator A acting from W 0 1 L M ( Ω ) to its dual for N -function M , and two lower-order terms g ( x , u , ∇ u ) and H ( x , ∇ u ) . It is assu...
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| Published in: | Journal of elliptic and parabolic equations 2023-06, Vol.9 (1), p.171-189 |
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| Main Authors: | , , , , |
| Format: | Article |
| Language: | English |
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| container_end_page | 189 |
| container_issue | 1 |
| container_start_page | 171 |
| container_title | Journal of elliptic and parabolic equations |
| container_volume | 9 |
| creator | Ait Khellou, M. Douiri, S. M. Farjil, H. Haddani, I. Moumni, M. |
| description | This paper is devoted to the existence of solutions in the context of Orlicz spaces for strongly nonlinear elliptic unilateral problems with a Leray-Lions operator
A
acting from
W
0
1
L
M
(
Ω
)
to its dual for
N
-function
M
, and two lower-order terms
g
(
x
,
u
,
∇
u
)
and
H
(
x
,
∇
u
)
. It is assumed that the non-linear term
g
satisfies a growth condition on
∇
u
and a sign condition on
u
, while the convection term
H
is only growing at most as
M
-
1
M
(
|
∇
u
|
)
. The source term
f
belongs to
L
1
(
Ω
)
. |
| doi_str_mv | 10.1007/s41808-022-00197-2 |
| format | article |
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A
acting from
W
0
1
L
M
(
Ω
)
to its dual for
N
-function
M
, and two lower-order terms
g
(
x
,
u
,
∇
u
)
and
H
(
x
,
∇
u
)
. It is assumed that the non-linear term
g
satisfies a growth condition on
∇
u
and a sign condition on
u
, while the convection term
H
is only growing at most as
M
-
1
M
(
|
∇
u
|
)
. The source term
f
belongs to
L
1
(
Ω
)
.</description><identifier>ISSN: 2296-9020</identifier><identifier>EISSN: 2296-9039</identifier><identifier>DOI: 10.1007/s41808-022-00197-2</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Mathematics ; Mathematics and Statistics ; Partial Differential Equations</subject><ispartof>Journal of elliptic and parabolic equations, 2023-06, Vol.9 (1), p.171-189</ispartof><rights>Orthogonal Publisher and Springer Nature Switzerland AG 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c242t-12a826f679d1e4891949baddb474494346ec167295740ff257751eabdf7a88273</cites><orcidid>0000-0002-6061-1335</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Ait Khellou, M.</creatorcontrib><creatorcontrib>Douiri, S. M.</creatorcontrib><creatorcontrib>Farjil, H.</creatorcontrib><creatorcontrib>Haddani, I.</creatorcontrib><creatorcontrib>Moumni, M.</creatorcontrib><title>Non-linear elliptic unilateral problems with two lower-order terms in Orlicz spaces</title><title>Journal of elliptic and parabolic equations</title><addtitle>J Elliptic Parabol Equ</addtitle><description>This paper is devoted to the existence of solutions in the context of Orlicz spaces for strongly nonlinear elliptic unilateral problems with a Leray-Lions operator
A
acting from
W
0
1
L
M
(
Ω
)
to its dual for
N
-function
M
, and two lower-order terms
g
(
x
,
u
,
∇
u
)
and
H
(
x
,
∇
u
)
. It is assumed that the non-linear term
g
satisfies a growth condition on
∇
u
and a sign condition on
u
, while the convection term
H
is only growing at most as
M
-
1
M
(
|
∇
u
|
)
. The source term
f
belongs to
L
1
(
Ω
)
.</description><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Partial Differential Equations</subject><issn>2296-9020</issn><issn>2296-9039</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kM9KxDAQh4MouKz7Ap7yAtHJNNs0R1n8B4t7UM8hbVPNkm1K0qXo0xutePQ0A_P7hpmPkEsOVxxAXifBK6gYIDIAriTDE7JAVCVTUKjTvx7hnKxS2gMAykLIEhbk-Sn0zLvemkit924YXUOPvfNmtNF4OsRQe3tIdHLjOx2nQH2YbGQhtjbSnMkj19Nd9K75pGkwjU0X5KwzPtnVb12S17vbl80D2-7uHzc3W9agwJFxNBWWXSlVy62oFFdC1aZtayGFUKIQpW14KVGtpYCuw7WUa25N3XbSVFX-YElw3tvEkFK0nR6iO5j4oTnobzN6NqOzGf1jRmOGihlKOdy_2aj34Rj7fOd_1BcjEWaN</recordid><startdate>20230601</startdate><enddate>20230601</enddate><creator>Ait Khellou, M.</creator><creator>Douiri, S. M.</creator><creator>Farjil, H.</creator><creator>Haddani, I.</creator><creator>Moumni, M.</creator><general>Springer International Publishing</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-6061-1335</orcidid></search><sort><creationdate>20230601</creationdate><title>Non-linear elliptic unilateral problems with two lower-order terms in Orlicz spaces</title><author>Ait Khellou, M. ; Douiri, S. M. ; Farjil, H. ; Haddani, I. ; Moumni, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c242t-12a826f679d1e4891949baddb474494346ec167295740ff257751eabdf7a88273</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Partial Differential Equations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ait Khellou, M.</creatorcontrib><creatorcontrib>Douiri, S. M.</creatorcontrib><creatorcontrib>Farjil, H.</creatorcontrib><creatorcontrib>Haddani, I.</creatorcontrib><creatorcontrib>Moumni, M.</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of elliptic and parabolic equations</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ait Khellou, M.</au><au>Douiri, S. M.</au><au>Farjil, H.</au><au>Haddani, I.</au><au>Moumni, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Non-linear elliptic unilateral problems with two lower-order terms in Orlicz spaces</atitle><jtitle>Journal of elliptic and parabolic equations</jtitle><stitle>J Elliptic Parabol Equ</stitle><date>2023-06-01</date><risdate>2023</risdate><volume>9</volume><issue>1</issue><spage>171</spage><epage>189</epage><pages>171-189</pages><issn>2296-9020</issn><eissn>2296-9039</eissn><abstract>This paper is devoted to the existence of solutions in the context of Orlicz spaces for strongly nonlinear elliptic unilateral problems with a Leray-Lions operator
A
acting from
W
0
1
L
M
(
Ω
)
to its dual for
N
-function
M
, and two lower-order terms
g
(
x
,
u
,
∇
u
)
and
H
(
x
,
∇
u
)
. It is assumed that the non-linear term
g
satisfies a growth condition on
∇
u
and a sign condition on
u
, while the convection term
H
is only growing at most as
M
-
1
M
(
|
∇
u
|
)
. The source term
f
belongs to
L
1
(
Ω
)
.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s41808-022-00197-2</doi><tpages>19</tpages><orcidid>https://orcid.org/0000-0002-6061-1335</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2296-9020 |
| ispartof | Journal of elliptic and parabolic equations, 2023-06, Vol.9 (1), p.171-189 |
| issn | 2296-9020 2296-9039 |
| language | eng |
| recordid | cdi_crossref_primary_10_1007_s41808_022_00197_2 |
| source | Springer Nature |
| subjects | Mathematics Mathematics and Statistics Partial Differential Equations |
| title | Non-linear elliptic unilateral problems with two lower-order terms in Orlicz spaces |
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