Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations
<p/> <p>We consider the problem <inline-formula><graphic file="1687-2770-2007-016407-i1.gif"/></inline-formula> where <inline-formula><graphic file="1687-2770-2007-016407-i2.gif"/></inline-formula> is not identically zero. Under the...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2007-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2007/016407 |
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doaj-de92fa608eaa4b69967d954727f229fb2020-11-24T21:03:59ZengSpringerOpenBoundary Value Problems1687-27621687-27702007-01-0120071016407Entire Bounded Solutions for a Class of Quasilinear Elliptic EquationsYang ZuodongXu Bing<p/> <p>We consider the problem <inline-formula><graphic file="1687-2770-2007-016407-i1.gif"/></inline-formula> where <inline-formula><graphic file="1687-2770-2007-016407-i2.gif"/></inline-formula> is not identically zero. Under the condition that <inline-formula><graphic file="1687-2770-2007-016407-i3.gif"/></inline-formula> satisfies (H), we show that there exists <inline-formula><graphic file="1687-2770-2007-016407-i4.gif"/></inline-formula> such that the above-mentioned equation admits at least one solution for all <inline-formula><graphic file="1687-2770-2007-016407-i5.gif"/></inline-formula>. This extends the results of Laplace equation to the case of <inline-formula><graphic file="1687-2770-2007-016407-i6.gif"/></inline-formula>-Laplace equation.</p>http://www.boundaryvalueproblems.com/content/2007/016407 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yang Zuodong Xu Bing |
| spellingShingle |
Yang Zuodong Xu Bing Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations Boundary Value Problems |
| author_facet |
Yang Zuodong Xu Bing |
| author_sort |
Yang Zuodong |
| title |
Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations |
| title_short |
Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations |
| title_full |
Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations |
| title_fullStr |
Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations |
| title_full_unstemmed |
Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations |
| title_sort |
entire bounded solutions for a class of quasilinear elliptic equations |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2762 1687-2770 |
| publishDate |
2007-01-01 |
| description |
<p/> <p>We consider the problem <inline-formula><graphic file="1687-2770-2007-016407-i1.gif"/></inline-formula> where <inline-formula><graphic file="1687-2770-2007-016407-i2.gif"/></inline-formula> is not identically zero. Under the condition that <inline-formula><graphic file="1687-2770-2007-016407-i3.gif"/></inline-formula> satisfies (H), we show that there exists <inline-formula><graphic file="1687-2770-2007-016407-i4.gif"/></inline-formula> such that the above-mentioned equation admits at least one solution for all <inline-formula><graphic file="1687-2770-2007-016407-i5.gif"/></inline-formula>. This extends the results of Laplace equation to the case of <inline-formula><graphic file="1687-2770-2007-016407-i6.gif"/></inline-formula>-Laplace equation.</p> |
| url |
http://www.boundaryvalueproblems.com/content/2007/016407 |
| work_keys_str_mv |
AT yangzuodong entireboundedsolutionsforaclassofquasilinearellipticequations AT xubing entireboundedsolutionsforaclassofquasilinearellipticequations |
| _version_ |
1716772422427869184 |