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Existence and uniqueness of positive solution for nonhomogeneous sublinear elliptic equations

โœ Scribed by Mohamed Benrhouma; Hichem Ounaies


Book ID
108178467
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
209 KB
Volume
358
Category
Article
ISSN
0022-247X

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Study of multiplicity and uniqueness of
โœ Mohamed Benrhouma ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 261 KB

In this paper, we deal with the sublinear elliptic equation: -โˆ†u+V (x)u+a(x)|u| p sgn(u) = f on R N , N > 2, 0 < p < 1. Under suitable assumptions on the terms V and a, we prove some existence, uniqueness and multiplicity results. Continuity of solutions in the perturbation parameter f at 0 is also