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In this paper we consider the Dirichlet problem for an fourth order elliptic equation on a open set in RN. By using variational methods we obtain the multiplicity of nontrivial weak solutions for the fourth order elliptic equation.
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참고문헌 (10)
참고문헌 신청
A.M. Micheletti / 1998 / Multiplicity results for a fourth-order semilinear elliptic problem / Nonlinear Anal. 31 : 895 ~ 903
A.M. Micheletti / 2001 / Multiple nontrivial solutions for a floating beam via critical point theory / J. Differential Equations 170 : 157 ~ 179
Amir Moradifam / 2010 / On the critical dimension of a fourth order elliptic problem with negative exponent / J. Differential Equations 248 : 594 ~ 616
J.Q. Liu / / Free vibrations for an asymmetric beam equation / Nonlinear Anal 51
P.J. McKenna / 1994 / Global bifurcation and a Theorem of Tarantello / J. Math. Anal. Appl. 181 : 648 ~ 655
A.M. Micheletti / 2001 / Multiple nontrivial solutions for a floating beam via critical point theory / J. Differential Equations 170 : 157 ~ 179
Amir Moradifam / 2010 / On the critical dimension of a fourth order elliptic problem with negative exponent / J. Differential Equations 248 : 594 ~ 616
J.Q. Liu / / Free vibrations for an asymmetric beam equation / Nonlinear Anal 51
P.J. McKenna / 1994 / Global bifurcation and a Theorem of Tarantello / J. Math. Anal. Appl. 181 : 648 ~ 655
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