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Let Ω be a bounded subset of Rⁿ with
smooth boundary and H be a Sobolev space [기호].
Let I ∈ [기호] be a strongly definite functional defined on a
Hilbert space H. We investigate the conditions on which the
functional I satisfies the Palais-Smale condition. Palais-Smale
condition is important for determining the critical points for I
by applying the critical point theory.
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참고문헌 (4)
참고문헌 신청
A. Ambrosetti / 1973 / Dual variational methods in critical point theory and applications / J. Funct. Anal 14 : 349 ~ 381
E. N. Dancer / 1977 / On the Dirichlet problem for weakly nonlinear elliptic partial differential equations / Proc. Roy. Soc. Edinb 76 : 283 ~ 300
P. H. Rabinowitz / 1986 / Minimax methods in critical point theory with applications to differential equations / C.B.M.S. Reg. Conf. Ser. in Math. 6, American Math-ematical Society
Q. H. Choi / 1999 / Multiple periodic solutions of a semilinear wave equation at double external resonances / Communications in Applied Analysis 3 (1) : 73 ~ 84
E. N. Dancer / 1977 / On the Dirichlet problem for weakly nonlinear elliptic partial differential equations / Proc. Roy. Soc. Edinb 76 : 283 ~ 300
P. H. Rabinowitz / 1986 / Minimax methods in critical point theory with applications to differential equations / C.B.M.S. Reg. Conf. Ser. in Math. 6, American Math-ematical Society
Q. H. Choi / 1999 / Multiple periodic solutions of a semilinear wave equation at double external resonances / Communications in Applied Analysis 3 (1) : 73 ~ 84
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