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Applications of linking inequalities to an asymmetric beam equation

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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)

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  2. Q.H. Choi, "The study of a nonlinear suspension bridge equation by a variational reduction method", Appl. Anal, 50, pp.71~90 (1993)
  3. H. Hofer, "On strongly indenite functionals with applications", Trans. Amer. Math. Soc, 275, pp.185~214 (1983)
  4. L. Humphreys, "Numerical and theoretical results on large amplitude periodic so- lutions of a suspension bridge equation", 박사, pp.1994
  5. S. Li, "Periodic solutions of an asymptotically linear wave equation", Nonlinear Anal, 1, pp.211~230 (1993)
  6. J.Q. Liu, "Free vibrations for an asymmetric beam equation", Nonlinear Anal, 51, pp.487~497 (2002)
  7. P.J. McKenna, "Nonlinear Oscillations in a Suspension Bridge", Arch. Ration. Mech. Anal, 98, pp.167~177 (1987)
  8. A.M. Micheletti, "Multiple nontrivial solutions for a oating beam via critical point theory", J. Differential Equations, 170, pp.157~179 (2001)

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