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Entire Blow-Up Solutions of Semilinear Elliptic Equations and Systems
Paperback
ISBN13: 9781288256129
Publisher: Biblioscholar
Published: Nov 9 2012
Pages: 84
Weight: 0.29
Height: 0.17 Width: 6.14 Depth: 9.21
Language: English
We examine two problems concerning semilinear elliptic equations. We also give alternative conditions that ensure existence of nonnegative radial solutions blowing up at infinity. Similarly, for systems, we provide conditions on p, q, f and g that guarantee existence of nonnegative solutions on the entire space. In this case, the main requirement for f and g will be closely related to a growth requirement known as the Keller-Osserman condition. Further, we demonstrate the existence of solutions blowing up at infinity and describe a setof initial conditionsthat would generate such solutions. Lastly, we examine several specific equations and systems numerically to graphically demonstrate the results of our analysis.
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