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Existence and Nonexistence of Positive Singular Solutions for a Class of Semilinear Elliptic Systems

✍ Scribed by Marta García-Huidobro; Raú Manásevich; Enzo Mitidieri; Cecilia S. Yarur


Publisher
Springer
Year
1997
Tongue
English
Weight
408 KB
Volume
140
Category
Article
ISSN
0003-9527

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📜 SIMILAR VOLUMES


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✍ Xuefeng Wang; Aihua W. Wood 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 80 KB

We show that entire positive solutions exist for the semilinear elliptic system u = p x v α , v = q x u β on R N , N ≥ 3, for positive α and β, provided that the nonnegative functions p and q are continuous and satisfy appropriate decay conditions at infinity. We also show that entire solutions fail

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