Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities
<p/> <p>A boundary-value problem for a semilinear elliptic equation in a convex ring is considered. Under suitable structural conditions, any classical solution <inline-formula><graphic file="1687-2770-2006-80347-i1.gif"/></inline-formula> lying between its (c...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2006-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2006/80347 |
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doaj-250bc670c5d248f8ba6075c5fb503b612020-11-25T01:49:16ZengSpringerOpenBoundary Value Problems1687-27621687-27702006-01-012006180347Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearitiesGreco Antonio<p/> <p>A boundary-value problem for a semilinear elliptic equation in a convex ring is considered. Under suitable structural conditions, any classical solution <inline-formula><graphic file="1687-2770-2006-80347-i1.gif"/></inline-formula> lying between its (constant) boundary values is shown to decrease along each ray starting from the origin, and to have convex level surfaces.</p>http://www.boundaryvalueproblems.com/content/2006/80347 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Greco Antonio |
| spellingShingle |
Greco Antonio Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities Boundary Value Problems |
| author_facet |
Greco Antonio |
| author_sort |
Greco Antonio |
| title |
Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities |
| title_short |
Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities |
| title_full |
Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities |
| title_fullStr |
Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities |
| title_full_unstemmed |
Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities |
| title_sort |
quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2762 1687-2770 |
| publishDate |
2006-01-01 |
| description |
<p/> <p>A boundary-value problem for a semilinear elliptic equation in a convex ring is considered. Under suitable structural conditions, any classical solution <inline-formula><graphic file="1687-2770-2006-80347-i1.gif"/></inline-formula> lying between its (constant) boundary values is shown to decrease along each ray starting from the origin, and to have convex level surfaces.</p> |
| url |
http://www.boundaryvalueproblems.com/content/2006/80347 |
| work_keys_str_mv |
AT grecoantonio quasiconcavityforsemilinearellipticequationswithnonmonotoneandanisotropicnonlinearities |
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