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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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We prove the existence and multiplicity of nontrivial solutions for a fourth order problem [수식] and u=0 on əΩ,
where [수식] is the sequence of the eigenvalues of -△ in [기호] and Ω is a bounded open set in RN with smooth boundary əΩ.
The results are proved by applying minimax arguments and linking theory.
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참고문헌 (9)
참고문헌 신청
A. M. Micheletti / 2001 / Multiple nontrivial solutions for a °oating beam via critical point theory / J. Differential Equations 170 : 157 ~ 179
H. Hofer / 1983 / On strongly inde?nite functionals with applications / Trans. Amer. Math. Soc 275 : 185 ~ 214
J. Q. Liu / 2002 / Free vibrations for an asymmetric beam equation / Nonlinear Analysis 51 : 487 ~ 497
L. Humphreys / 1994 / Numerical and theoretical results on large amplitude periodic so-lutions of a suspension bridge equation / 박사 / University of Connecticut
P. J. McKenna / 1994 / Global bifurcation and a Theorem of Tarantello / Journ. Math. Anal. Appl 181 : 648 ~ 655
H. Hofer / 1983 / On strongly inde?nite functionals with applications / Trans. Amer. Math. Soc 275 : 185 ~ 214
J. Q. Liu / 2002 / Free vibrations for an asymmetric beam equation / Nonlinear Analysis 51 : 487 ~ 497
L. Humphreys / 1994 / Numerical and theoretical results on large amplitude periodic so-lutions of a suspension bridge equation / 박사 / University of Connecticut
P. J. McKenna / 1994 / Global bifurcation and a Theorem of Tarantello / Journ. Math. Anal. Appl 181 : 648 ~ 655
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