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We investigate the existence of solutions of the nonlinear biharmonic equation with variable coefficient polynomial growth nonlinear term and Dirichlet boundary condition. We get a theorem which shows that there exists a bounded solution and a large norm solution depending on the variable coefficient. We obtain this result by variational method, generalized mountain pass geometry and critical point theory.
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참고문헌 (10)
참고문헌 신청
Chang, K. C. / 1993 / In nite dimensional Morse theory and multiple solution problems / Birkhauser
Choi, Q. H. / 1995 / An application of a variational reduction method to a nonlinear wave equation / J. Di erential Equations 7 : 390 ~ 410
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
Jung, T. S. / 1997 / Multiplicity results on a nonlinear biharmonic equation / Nonlinear Analysis, Theory, Methods and Applications 30 (8) : 5083 ~ 5092
Choi, Q. H. / 1995 / An application of a variational reduction method to a nonlinear wave equation / J. Di erential Equations 7 : 390 ~ 410
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
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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