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Multiple solutions for a degenerate elliptic equation involving sublinear terms at infinity

✍ Scribed by Alexandru Kristály; Csaba Varga


Book ID
108178176
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
162 KB
Volume
352
Category
Article
ISSN
0022-247X

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Study of multiplicity and uniqueness of
✍ Mohamed Benrhouma 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 261 KB

In this paper, we deal with the sublinear elliptic equation: -∆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