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We prove the existence of in¯nitely many solutions of
the nonlinear higher order elliptic equation with Dirichlet boundary
condition (¡¢)mu = q(x; u) in ; where m ¸ 1 is an integer and
½ Rn is a bounded domain with smooth boundary, when q(x,u)
satis¯es some conditions.
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참고문헌 (14)
참고문헌 신청
A. Castro / 1979 / Critical point theory and the number of solutions of a nonlinear Dirichlet problem / Ann. Mat. Pura Appl 120 (4) : 113 ~ 137
A. Castro / 1994 / Cossio, Multiple solutions for a nonlinear Dirichlet problem / SIAM J. Math. Anal 25 (6) : 1554 ~ 1561
A.Ambrosetti / 1973 / Dual variational methods in critical point theory and applications / J. Funct. Analysis 14 : 349 ~ 381
H.Amann / 1979 / Saddle points and multiple solutions of de®erential equation / Math. Z.
J.T. Schwartz / 1969 / Nonlinear functional analysis / Gordon and Breach
A. Castro / 1994 / Cossio, Multiple solutions for a nonlinear Dirichlet problem / SIAM J. Math. Anal 25 (6) : 1554 ~ 1561
A.Ambrosetti / 1973 / Dual variational methods in critical point theory and applications / J. Funct. Analysis 14 : 349 ~ 381
H.Amann / 1979 / Saddle points and multiple solutions of de®erential equation / Math. Z.
J.T. Schwartz / 1969 / Nonlinear functional analysis / Gordon and Breach
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