On Positive Solutions for Semilinear Elliptic Equations with an Indefinite Nonlinearity Via Bifurcation
Year: 2000
Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 2 : pp. 133–150
Abstract
Existence of a positive solution was establsihed via bifurcation theory for sernilinear elliptic boundary value problems. With the aid of maximum principles and a priori estimates, global behavior of the bifurcation curve was obtained. In particular, a general sufficient condition was given for existence of multiple positive solutions when the nonlinearity is sub-critical and indefinite.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2000-JPDE-5502
Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 2 : pp. 133–150
Published online: 2000-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Existence