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We prove the existence of multiple solutions for the fourth order nonlinear elliptic problem with fully nonlinear term. Our method is based on the critical point theory; the variation of linking method and category theory.
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참고문헌 (8)
참고문헌 신청
Choi, Q. H. / 1999 / Multiplicity of solutions and source terms in a fourth order nonlinear elliptic equation / Acta Mathematica Scientia 19 (4) : 361 ~ 374
Choi, Q. H. / 1999 / Multiplicity results on nonlinear biharmonic operator / Rocky Mountain J. Math. 29 (1) : 141 ~ 164
Hofer, H. / 1983 / On strongly inde nite functionals with applications / Trans. Amer. Math. Soc 275 : 185 ~ 214
Jung, T. S. / / A Variation of Linking for the Semilinear Bihar-monic Problem
Jung, T. S. / 1997 / Multiplicity results on a nonlinear biharmonic equation / Nonlinear Analysis, Theory, Methods and Applications 30 (8) : 5083 ~ 5092
Choi, Q. H. / 1999 / Multiplicity results on nonlinear biharmonic operator / Rocky Mountain J. Math. 29 (1) : 141 ~ 164
Hofer, H. / 1983 / On strongly inde nite functionals with applications / Trans. Amer. Math. Soc 275 : 185 ~ 214
Jung, T. S. / / A Variation of Linking for the Semilinear Bihar-monic Problem
Jung, T. S. / 1997 / Multiplicity results on a nonlinear biharmonic equation / Nonlinear Analysis, Theory, Methods and Applications 30 (8) : 5083 ~ 5092
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