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The Semilinear Biharmonic Problem with Fully Nonlinear Term

정택선|최규흥
장전수학회 (Jangjeon Mathematical Society)|2017.04|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제20권 제2호|pp. 183-191|DOI 10.17777/pjms.2017.20.2.006

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참고문헌

키워드

Fourth order elliptic boundary value problemfully nonlin- ear termcritical point theoryvariation of linking method
주제분류수학

초록

We get one theorem that there exist solutions for the fourth order semi- linear elliptic Dirichlet boundary value problem with fully nonlinear term. We prove this result by the critical point theory and the variation of linking method.

Abstract

We get one theorem that there exist solutions for the fourth order semi- linear elliptic Dirichlet boundary value problem with fully nonlinear term. We prove this result by the critical point theory and the variation of linking method.

참고문헌 (8)

  1. Choi, Q. H., "Multiplicity of solutions and source terms in a fourth order nonlinear elliptic equation", Acta Mathematica Scientia, 19(4), pp.361~374 (1999)
  2. Choi, Q. H., "Multiplicity results on nonlinear biharmonic operator", Rocky Mountain J. Math, 29(1), pp.141~164 (1999)
  3. Hofer, H., "On strongly indefinite functionals with applications", Trans. Amer. Math. Soc, 275, pp.185~214 (1983)
  4. Jung, T. S., "Multiplicity results on a nonlinear biharmonic equa-tion", Nonlinear Analysis, Theory, Methods and Applications, 30(8), pp.5083~5092 (1997)
  5. Jung, T. S., "A Variation of Linking for the Semilinear Biharmonic Problem", ~
  6. Li, S., "Periodic solutions of an asymptotically linear wave equation", Nonlinear Analysis, 1, pp.211~230 (1993)
  7. Micheletti, A. M., "ıt Multiplicity results for a fourth-order semi-linear elliptic problem", Nonlinear Analysis, TMA, 31(7), pp.895~908 (1998)
  8. Tarantello, "A note on a semilinear elliptic problem", Diff. Integ. Equat, 5(3), pp.561~565 (1992)

관련 논문AI추천

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