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On Some Semilinear Nonuniformly Elliptic Problems with Subcritical Nonlinearity Without the Ambrosetti and Rabinowitz Condition
The paper deals with the existence of weak solutions to the Dirichlet problem where Ω is a bounded domain in , N ≥3, λ is a positive parameter, , , f ( x , s ) is subcritical and does not have superquadratic behavior at infinity. The solutions are found by using the Mountain Pass Theorem correspondi...
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| Published in: | Vietnam journal of mathematics 2014-03, Vol.42 (1), p.1-15 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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| cites | cdi_FETCH-LOGICAL-c240t-d231712d37332a3f305746f262599e00d45cf54c0eaa2f862e762daf8bd960333 |
| container_end_page | 15 |
| container_issue | 1 |
| container_start_page | 1 |
| container_title | Vietnam journal of mathematics |
| container_volume | 42 |
| creator | Hang, Trinh Thi Minh Toan, Hoang Quoc |
| description | The paper deals with the existence of weak solutions to the Dirichlet problem
where
Ω
is a bounded domain in
,
N
≥3,
λ
is a positive parameter,
,
,
f
(
x
,
s
) is subcritical and does not have superquadratic behavior at infinity. The solutions are found by using the Mountain Pass Theorem corresponding to the Cerami compactness condition. |
| doi_str_mv | 10.1007/s10013-013-0031-5 |
| format | article |
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where
Ω
is a bounded domain in
,
N
≥3,
λ
is a positive parameter,
,
,
f
(
x
,
s
) is subcritical and does not have superquadratic behavior at infinity. The solutions are found by using the Mountain Pass Theorem corresponding to the Cerami compactness condition.</description><identifier>ISSN: 2305-221X</identifier><identifier>EISSN: 2305-2228</identifier><identifier>DOI: 10.1007/s10013-013-0031-5</identifier><language>eng</language><publisher>Singapore: Springer Singapore</publisher><subject>Mathematics ; Mathematics and Statistics</subject><ispartof>Vietnam journal of mathematics, 2014-03, Vol.42 (1), p.1-15</ispartof><rights>Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore 2013</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c240t-d231712d37332a3f305746f262599e00d45cf54c0eaa2f862e762daf8bd960333</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Hang, Trinh Thi Minh</creatorcontrib><creatorcontrib>Toan, Hoang Quoc</creatorcontrib><title>On Some Semilinear Nonuniformly Elliptic Problems with Subcritical Nonlinearity Without the Ambrosetti and Rabinowitz Condition</title><title>Vietnam journal of mathematics</title><addtitle>Viet J Math</addtitle><description>The paper deals with the existence of weak solutions to the Dirichlet problem
where
Ω
is a bounded domain in
,
N
≥3,
λ
is a positive parameter,
,
,
f
(
x
,
s
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where
Ω
is a bounded domain in
,
N
≥3,
λ
is a positive parameter,
,
,
f
(
x
,
s
) is subcritical and does not have superquadratic behavior at infinity. The solutions are found by using the Mountain Pass Theorem corresponding to the Cerami compactness condition.</abstract><cop>Singapore</cop><pub>Springer Singapore</pub><doi>10.1007/s10013-013-0031-5</doi><tpages>15</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2305-221X |
| ispartof | Vietnam journal of mathematics, 2014-03, Vol.42 (1), p.1-15 |
| issn | 2305-221X 2305-2228 |
| language | eng |
| recordid | cdi_crossref_primary_10_1007_s10013_013_0031_5 |
| source | Springer Nature |
| subjects | Mathematics Mathematics and Statistics |
| title | On Some Semilinear Nonuniformly Elliptic Problems with Subcritical Nonlinearity Without the Ambrosetti and Rabinowitz Condition |
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