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A priori estimates, existence and non-existence of positive solutions of generalized mean curvature equations

✍ Scribed by Qiuyi Dai; Yonggeng Gu; Jiuyi Zhu


Book ID
113811391
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
246 KB
Volume
74
Category
Article
ISSN
0362-546X

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Existence and non-existence of global so
✍ Azmy S. Ackleh; Keng Deng πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 87 KB πŸ‘ 1 views

## Abstract We study the initial value problem where $ \|u(\cdot,t)\| = \int \nolimits ^ {\infty} \_ {- \infty}\varphi(x) | u( x,t ) | {\rm{ d }} x$ with Ο†(__x__)β©Ύ0 and $ \int \nolimits^{\infty} \_ {-\infty} \varphi (x) \, {\rm{d}}x\,= 1$. We show that solutions exist globally for 0<__p__β©½1, while