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초록· 키워드
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Let I ∈ C1,1 be a strongly indefinite functional defined
on a Hilbert space H. We investigate the number of the critical
points of I when I satisfies one pair of Torus-Sphere variational link-
ing inequality. We show that I has at least two critical points when I
satisfies one pair of Torus-Sphere variational linking inequality with
(P.S.)*c condition. We prove this result by use of the limit relative
category and critical point theory on the manifold with boundary.
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참고문헌 (8)
참고문헌 신청
A. Marino / 2000 / Nabla theorems and multiple solutions for some noncooperative elliptic systems, Sezione Di Annalisi Mathematica E Proba- bilita / universita di Pisa
D. Lupo / 1996 / Two applications of a three critical points theorem / J. Differential Equations 132 : 222 ~ 238
Fournier, g / 1993 / Limit relative category and ctritical point theory / Dynam. Report 3 : 1 ~ 23
Marino, A / 1994 / A nonsymmetric asymptotically linear elliptic problem / Topol. Meth. Nonlin. Anal 4 : 289 ~ 339
Marino. A / 1991 / Same variational results on semilinear problems with asymptoticallly nonsymmetric behaviour, Nonlinear Analysis "A Tribute in honour of G. Pordi" / S.U.S. Pisa
D. Lupo / 1996 / Two applications of a three critical points theorem / J. Differential Equations 132 : 222 ~ 238
Fournier, g / 1993 / Limit relative category and ctritical point theory / Dynam. Report 3 : 1 ~ 23
Marino, A / 1994 / A nonsymmetric asymptotically linear elliptic problem / Topol. Meth. Nonlin. Anal 4 : 289 ~ 339
Marino. A / 1991 / Same variational results on semilinear problems with asymptoticallly nonsymmetric behaviour, Nonlinear Analysis "A Tribute in honour of G. Pordi" / S.U.S. Pisa
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