On the Stability of the Positive Radial Steady States for a Semilinear Cauchy Problem Involving Critical Exponents |
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Authors: | Deng Yinbin Yang Fen |
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Affiliation: | [1]Department of Mathematics, Huazhong Normal University, Wuhan 430079, China [2]Department of Information and Computation Science, College of Science Wuhan University of Science and Technology, Wuhan 430081, China |
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Abstract: | This article is contributed to the Cauchy problem with initial function φ notequiv; 0. The stability of positive radial steady state, which are positive solutions of Δu+K(|x|)up=0, is obtained when p is critical for general K(|x|). |
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Keywords: | Stability Cauchy problem asymptotic stability |
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