Infinitely Many Solutions for Schrödinger–Kirchhoff-Type Fourth-Order Elliptic Equations. Issue 2 (30th January 2017)
- Record Type:
- Journal Article
- Title:
- Infinitely Many Solutions for Schrödinger–Kirchhoff-Type Fourth-Order Elliptic Equations. Issue 2 (30th January 2017)
- Main Title:
- Infinitely Many Solutions for Schrödinger–Kirchhoff-Type Fourth-Order Elliptic Equations
- Authors:
- Song, Hongxue
Chen, Caisheng - Abstract:
- Abstract: This paper deals with the class of Schrödinger–Kirchhoff-type biharmonic problems where Δ 2 denotes the biharmonic operator, and f ∈ C (ℝ N × ℝ, ℝ) satisfies the Ambrosetti–Rabinowitz-type conditions. Under appropriate assumptions on V and f, the existence of infinitely many solutions is proved by using the symmetric mountain pass theorem.
- Is Part Of:
- Proceedings of the Edinburgh Mathematical Society. Volume 60:Issue 2(2017)
- Journal:
- Proceedings of the Edinburgh Mathematical Society
- Issue:
- Volume 60:Issue 2(2017)
- Issue Display:
- Volume 60, Issue 2 (2017)
- Year:
- 2017
- Volume:
- 60
- Issue:
- 2
- Issue Sort Value:
- 2017-0060-0002-0000
- Page Start:
- 1003
- Page End:
- 1020
- Publication Date:
- 2017-01-30
- Subjects:
- biharmonic operator, -- Palais–Smale sequences, -- symmetric mountain pass theorem, -- Kirchhoff equation
Primary 35J30, -- 35J35, -- 35J62
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=PEM ↗
- DOI:
- 10.1017/S001309151600047X ↗
- Languages:
- English
- ISSNs:
- 0013-0915
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library STI - ELD Digital store
- Ingest File:
- 4831.xml