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Finite Difference Approximation of the Weak Solution of a Mildly Nonlinear Dirichlet Problem

โœ Scribed by Rosenzweig, M. B.


Book ID
118181846
Publisher
Society for Industrial and Applied Mathematics
Year
1973
Tongue
English
Weight
879 KB
Volume
10
Category
Article
ISSN
0036-1429

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On multiple solutions of a nonlinear dir
โœ Alfonso Castro; Jorge Cossio; John M. Neuberger ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 361 KB

We prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. We also prove that if the region is a ball the semilinear elliptic problem has two solutions that change sign and are nonrad