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Positive Solutions of Superlinear Elliptic Equations

✍ Scribed by Zhaoli Liu

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
207 KB
Volume
167
Category
Article
ISSN
0022-1236

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✦ Synopsis

In this paper, we study the existence of two positive solutions of superlinear elliptic equations without assuming the conditions which have been used in the literature to deduce either the P.S. condition or a priori bounds of positive solutions. The first solution is proved as the minimal positive solution, while the second one is obtained as the limit of a gradient flow whose starting point is properly chosen. The dependence of the minimal solution upon a parameter is also considered.

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