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Existence and multiplicity results for a class of resonant quasilinear elliptic problems on RN

✍ Scribed by C.O. Alves; P.C. Carrião; O.H. Miyagaki

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 98 KB
Volume: 39
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(98)00176-x

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## Abstract We study an eigenvalue problem in **R**^__N__^ which involves the __p__ ‐Laplacian (__p__ > __N__ ≥ 2) and the nonlinear term has a global (__p__ – 1)‐sublinear growth. The existence of certain open intervals of eigenvalues is guaranteed for which the eigenvalue problem has two nonzero