Multiplicity of Solutions to a Potential Operator Equation and Its Applications
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-22
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We consider the multiplicity of solutions for operator equation involving homogeneous potential operators.
With the help of Nehari manifold and fibering maps, we prove that such equation has at least two nontrivial solutions.
Furthermore, we apply this result to prove the existence of two nonnegative solutions for three types of quasilinear elliptic systems involving (p, q)-Laplacian operator and concave-convex nonlinearities.
American Psychological Association (APA)
Huang, Jincheng. 2014. Multiplicity of Solutions to a Potential Operator Equation and Its Applications. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1015121
Modern Language Association (MLA)
Huang, Jincheng. Multiplicity of Solutions to a Potential Operator Equation and Its Applications. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1015121
American Medical Association (AMA)
Huang, Jincheng. Multiplicity of Solutions to a Potential Operator Equation and Its Applications. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1015121
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015121