Infinitely Many Solutions of Superlinear Elliptic Equation
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-16
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Via the Fountain theorem, we obtain the existence of infinitely many solutions of the following superlinear elliptic boundary value problem: −Δu=f(x,u) in Ω,u=0 on ∂Ω, where Ω⊂ℝN (N>2) is a bounded domain with smooth boundary and f is odd in u and continuous.
There is no assumption near zero on the behavior of the nonlinearity f, and f does not satisfy the Ambrosetti-Rabinowitz type technical condition near infinity.
American Psychological Association (APA)
Mao, Anmin& Li, Yang. 2013. Infinitely Many Solutions of Superlinear Elliptic Equation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-497359
Modern Language Association (MLA)
Mao, Anmin& Li, Yang. Infinitely Many Solutions of Superlinear Elliptic Equation. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-497359
American Medical Association (AMA)
Mao, Anmin& Li, Yang. Infinitely Many Solutions of Superlinear Elliptic Equation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-497359
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497359