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The method of quasisolutions for the problem of determining the eigenfunctions of a linear operator

โœ Scribed by A.L. Ageyev

Publisher
Elsevier Science
Year
1987
Weight
470 KB
Volume
27
Category
Article
ISSN
0041-5553

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โœ Xavier Cabrรฉ; Yvan Martel ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 466 KB

We consider the semilinear elliptic problem where \* is a nonnegative parameter and g is a positive, nondecreasing, convex nonlinearity. There exists a value \*\* of the parameter which is extremal in terms of existence of solution. We study the linearization of the semilinear problem at the extrem