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Existence and Nonexistence of Global Solutions for a Semi-Linear Heat Equation with Fractional Laplacian

โœ Scribed by Tan Zhong; Xu Yongqiang


Book ID
119528007
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
349 KB
Volume
32
Category
Article
ISSN
0252-9602

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Existence and nonexistence of global pos
โœ Xianzhong Zeng ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 347 KB

This paper deals with the existence and nonexistence of global positive solutions for two evolution P-Laplacian equations in exterior domains with inhomogeneous boundary conditions. We demonstrate that q c = n( p -1)/(np) is its critical exponent provided 2n/(n + 1) < p < n. Furthermore, we prove th