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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We investigate the existence of weak solutions for the biharmonic boundary value problem with nonlinear term decaying at the origin. We get a theorem which shows the existence of nontrivial solutions for the biharmonic boundary value problem with nonlinear term decaying at the origin. We obtain this result by reducing the biharmonic problem with nonlinear term to the biharmonic problem with bounded nonlinear term and then approaching the variational method and using the mountain pass geometry for the reduced biharmonic problem with bounded nonlinear term.
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참고문헌 (9)
참고문헌 신청
Chang, K.C. / 1993 / Infinite dimensional Morse theory and multiple solution problems / Birkh¨auser
Choi, Q.H. / 1999 / Multiplicity of solutions and source terms in a fourth order nonlinear elliptic equation / Acta Math. Sci 19 (4) : 361 ~ 374
Choi, Q.H. / 1999 / Multiplicity results on nonlinear biharmonic operator / Rocky Mountain J. Math 29 (1) : 141 ~ 164
Jung, T.S. / 1997 / Multiplicity results on a nonlinear biharmonic equation / Nonlinear Anal 30 (8) : 5083 ~ 5092
Lazer, A.C. / 1985 / Multiplicity results for a class of semilinear elliptic and parabolic boundary value problems / J. Math. Anal. Appl 107 : 371 ~ 395
Choi, Q.H. / 1999 / Multiplicity of solutions and source terms in a fourth order nonlinear elliptic equation / Acta Math. Sci 19 (4) : 361 ~ 374
Choi, Q.H. / 1999 / Multiplicity results on nonlinear biharmonic operator / Rocky Mountain J. Math 29 (1) : 141 ~ 164
Jung, T.S. / 1997 / Multiplicity results on a nonlinear biharmonic equation / Nonlinear Anal 30 (8) : 5083 ~ 5092
Lazer, A.C. / 1985 / Multiplicity results for a class of semilinear elliptic and parabolic boundary value problems / J. Math. Anal. Appl 107 : 371 ~ 395
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