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Study of multiplicity and uniqueness of solutions for a class of nonhomogeneous sublinear elliptic equations

โœ Scribed by Mohamed Benrhouma

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
261 KB
Volume
74
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

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 studied. Our main tools are the concentrationcompactness principle and mountain-pass theorem.

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