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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2007-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2007/016407 |
| Summary: | <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> |
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| ISSN: | 1687-2762 1687-2770 |