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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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 |