논문KCI 등재
Applications of linking inequalities to an asymmetric beam equation
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We prove that an asymmetric beam equation has at least two solutions, one of which is a positive solution. To prove the existence of the other solution, we use linking inequalities.
Abstract
We prove that an asymmetric beam equation has at least two solutions, one of which is a positive solution. To prove the existence of the other solution, we use linking inequalities.
참고문헌 (8)
- Q.H. Choi, "A nonlinear suspension bridge equation with nonconstant load", Nonlinear Anal, 35, pp.649~668 (1999)
- Q.H. Choi, "The study of a nonlinear suspension bridge equation by a variational reduction method", Appl. Anal, 50, pp.71~90 (1993)
- H. Hofer, "On strongly indenite functionals with applications", Trans. Amer. Math. Soc, 275, pp.185~214 (1983)
- L. Humphreys, "Numerical and theoretical results on large amplitude periodic so- lutions of a suspension bridge equation", 박사, pp.1994
- S. Li, "Periodic solutions of an asymptotically linear wave equation", Nonlinear Anal, 1, pp.211~230 (1993)
- J.Q. Liu, "Free vibrations for an asymmetric beam equation", Nonlinear Anal, 51, pp.487~497 (2002)
- P.J. McKenna, "Nonlinear Oscillations in a Suspension Bridge", Arch. Ration. Mech. Anal, 98, pp.167~177 (1987)
- A.M. Micheletti, "Multiple nontrivial solutions for a oating beam via critical point theory", J. Differential Equations, 170, pp.157~179 (2001)
관련 논문AI추천
An application of linking theorem to fourth order elliptic boundary value problem with fully nonlinear term정택선, 최규흥강원경기수학회 · 한국수학논문집2014 · 제22권 제2호Existence of nontrivial solutions of a nonlinear biharmonic equation김영화, 최규흥, Xuechun Wang강원경기수학회 · 한국수학논문집2009 · 제17권 제4호Asymptotically linear beam equation and reduction method정택선, 최규흥강원경기수학회 · 한국수학논문집2011 · 제19권 제4호An application of a linking method to a general elliptic system남혜원강원경기수학회 · 한국수학논문집2010 · 제18권 제1호At least two solutions for the asymmetric beam system with critical growth정택선, 최규흥강원경기수학회 · 한국수학논문집2011 · 제19권 제3호Multiple solutions for a suspending beam equation and the geometry of the mapping정택선, 최규흥강원경기수학회 · 한국수학논문집2009 · 제17권 제2호
이 간행물의 다른 논문 (9건)
New construction of the Eagon-Northcott complex김주형, 강오진pp. 161-176A note on four types of regular relations송형수pp. 177-184Integral domains with finitely many star operations of finite type장규환pp. 185-191The properties of fuzzy connections김영선, 김용찬pp. 193-212Superstability of the generalized Pexider type exponential equation in Abelian group김광휘pp. 213-223
