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Positive Solutions for Nonlinear Eigenvalue Problems

โœ Scribed by Johnny Henderson; Haiyan Wang


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
158 KB
Volume
208
Category
Article
ISSN
0022-247X

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โœ Pavel Drรกbek; Wolfgang Rother ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 319 KB

The nonlinear eigenvalue problem for p-Laplacian -div (a(x) is considered. We assume that 1 < p < N and that the functionfis of subcritical growth with respect to the variable u. The existence and C'."-regularity of the weak solution is proved.

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We improve the results obtained by Erbe, Hu, and Wang in a recent paper. We show that there exist at least two positive solutions of two-point boundary value problems under conditions weaker than those used by Erbe, Hu, and Wang.