Singularly perturbed Neumann problem for fractional Schrödinger equations
This paper is concerned with a Neumann type problem for singularly perturbed fractional nonlinear Schrödinger equations with subcritical exponent. For some smooth bounded domain Ω ⊂ R n , our boundary condition is given by ∫ u ( x ) − u ( y ) | x − y | n + 2 s d y = 0 f o r x ∈ ℝ n ∖ Ω ¯ . We establ...
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| Veröffentlicht in: | Science China. Mathematics 2018-04, Vol.61 (4), p.695-708 |
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| container_title | Science China. Mathematics |
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| creator | Chen, Guoyuan |
| description | This paper is concerned with a Neumann type problem for singularly perturbed fractional nonlinear Schrödinger equations with subcritical exponent. For some smooth bounded domain Ω ⊂ R
n
, our boundary condition is given by
∫
u
(
x
)
−
u
(
y
)
|
x
−
y
|
n
+
2
s
d
y
=
0
f
o
r
x
∈
ℝ
n
∖
Ω
¯
. We establish existence of non-negative small energy solutions, and also investigate the integrability of the solutions on R
n
. |
| doi_str_mv | 10.1007/s11425-016-0420-2 |
| format | Article |
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n
, our boundary condition is given by
∫
u
(
x
)
−
u
(
y
)
|
x
−
y
|
n
+
2
s
d
y
=
0
f
o
r
x
∈
ℝ
n
∖
Ω
¯
. We establish existence of non-negative small energy solutions, and also investigate the integrability of the solutions on R
n
.</description><identifier>ISSN: 1674-7283</identifier><identifier>EISSN: 1869-1862</identifier><identifier>DOI: 10.1007/s11425-016-0420-2</identifier><language>eng</language><publisher>Beijing: Science China Press</publisher><subject>Applications of Mathematics ; Mathematical analysis ; Mathematics ; Mathematics and Statistics ; Neumann problem ; Nonlinear equations ; Schrodinger equation</subject><ispartof>Science China. Mathematics, 2018-04, Vol.61 (4), p.695-708</ispartof><rights>Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2017</rights><rights>Copyright Springer Science & Business Media 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-631994deb9783ab37013fb9ae9acef41fa0c7a6140fd67048fca687d40368c9b3</citedby><cites>FETCH-LOGICAL-c316t-631994deb9783ab37013fb9ae9acef41fa0c7a6140fd67048fca687d40368c9b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11425-016-0420-2$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11425-016-0420-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27923,27924,41487,42556,51318</link.rule.ids></links><search><creatorcontrib>Chen, Guoyuan</creatorcontrib><title>Singularly perturbed Neumann problem for fractional Schrödinger equations</title><title>Science China. Mathematics</title><addtitle>Sci. China Math</addtitle><description>This paper is concerned with a Neumann type problem for singularly perturbed fractional nonlinear Schrödinger equations with subcritical exponent. For some smooth bounded domain Ω ⊂ R
n
, our boundary condition is given by
∫
u
(
x
)
−
u
(
y
)
|
x
−
y
|
n
+
2
s
d
y
=
0
f
o
r
x
∈
ℝ
n
∖
Ω
¯
. We establish existence of non-negative small energy solutions, and also investigate the integrability of the solutions on R
n
.</description><subject>Applications of Mathematics</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Neumann problem</subject><subject>Nonlinear equations</subject><subject>Schrodinger equation</subject><issn>1674-7283</issn><issn>1869-1862</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1UMtOwzAQtBBIVKUfwC0SZ8Ou7drxEVU8VcGhcLYcx4ZWadLayaE_xg_wY7gKEif2sLtazYxmh5BLhGsEUDcJUbA5BZQUBAPKTsgES6lpbuw071IJqljJz8kspQ3k4hqE4hPyvFq3H0NjY3Modj72Q6x8Xbz4YWvbttjFrmr8tghdLEK0rl93rW2KlfuM3191ZvpY-P1gj_d0Qc6CbZKf_c4peb-_e1s80uXrw9PidkkdR9lTyVFrUftKq5LbiitAHiptvbbOB4HBglNWooBQSwWiDM7KUtUCuCydrviUXI262d1-8Kk3m26I2VcyDFDwOQpZZhSOKBe7lKIPZhfXWxsPBsEcUzNjaianZo6pGZY5bOSkjD0-96f8P-kHgmVwXQ</recordid><startdate>20180401</startdate><enddate>20180401</enddate><creator>Chen, Guoyuan</creator><general>Science China Press</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20180401</creationdate><title>Singularly perturbed Neumann problem for fractional Schrödinger equations</title><author>Chen, Guoyuan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-631994deb9783ab37013fb9ae9acef41fa0c7a6140fd67048fca687d40368c9b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Applications of Mathematics</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Neumann problem</topic><topic>Nonlinear equations</topic><topic>Schrodinger equation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chen, Guoyuan</creatorcontrib><collection>CrossRef</collection><jtitle>Science China. Mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chen, Guoyuan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Singularly perturbed Neumann problem for fractional Schrödinger equations</atitle><jtitle>Science China. Mathematics</jtitle><stitle>Sci. China Math</stitle><date>2018-04-01</date><risdate>2018</risdate><volume>61</volume><issue>4</issue><spage>695</spage><epage>708</epage><pages>695-708</pages><issn>1674-7283</issn><eissn>1869-1862</eissn><abstract>This paper is concerned with a Neumann type problem for singularly perturbed fractional nonlinear Schrödinger equations with subcritical exponent. For some smooth bounded domain Ω ⊂ R
n
, our boundary condition is given by
∫
u
(
x
)
−
u
(
y
)
|
x
−
y
|
n
+
2
s
d
y
=
0
f
o
r
x
∈
ℝ
n
∖
Ω
¯
. We establish existence of non-negative small energy solutions, and also investigate the integrability of the solutions on R
n
.</abstract><cop>Beijing</cop><pub>Science China Press</pub><doi>10.1007/s11425-016-0420-2</doi><tpages>14</tpages></addata></record> |
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| identifier | ISSN: 1674-7283 |
| ispartof | Science China. Mathematics, 2018-04, Vol.61 (4), p.695-708 |
| issn | 1674-7283 1869-1862 |
| language | eng |
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| source | Alma/SFX Local Collection; SpringerLink Journals - AutoHoldings |
| subjects | Applications of Mathematics Mathematical analysis Mathematics Mathematics and Statistics Neumann problem Nonlinear equations Schrodinger equation |
| title | Singularly perturbed Neumann problem for fractional Schrödinger equations |
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