논문KCI 등재
Applications of topolological methods to the semilinear biharmonic problem with different powers
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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.
Abstract
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.
참고문헌 (8)
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- Choi, Q. H., "Multiplicity results on nonlinear biharmonic operator", Rocky Mountain J. Math., 29(1), pp.141~164 (1999)
- Hofer, H., "On strongly inde nite functionals with applications", Trans. Amer. Math. Soc, 275, pp.185~214 (1983)
- Jung, T. S., "Multiplicity results on a nonlinear biharmonic equation", Nonlinear Analysis, Theory, Methods and Applications, 30(8), pp.5083~5092 (1997)
- Jung, T. S., "A Variation of Linking for the Semilinear Bihar-monic Problem", ~
- Li, S., "Periodic solutions of an asymptotically linear wave equa-tion", Nonlinear Analysis, Theory, Methods and Applications, 1, pp.211~230 (1993)
- Micheletti, A. M., "Multiplicity results for a fourth-order semi-linear elliptic problem", Nonlinear Analysis, TMA, 31(7), pp.895~908 (1998)
- Tarantello, "A note on a semilinear elliptic problem", Di . Integ. Equat, 5(3), pp.561~565 (1992)
관련 논문AI추천
The Semilinear Biharmonic Problem with Fully Nonlinear Term정택선, 최규흥장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제2호An application of linking theorem to fourth order elliptic boundary value problem with fully nonlinear term정택선, 최규흥강원경기수학회 · 한국수학논문집2014 · 제22권 제2호Existence of nontrivial solutions of a nonlinear biharmonic equation김영화, 최규흥, Xuechun Wang강원경기수학회 · 한국수학논문집2009 · 제17권 제4호Reduction method applied to the nonlinear biharmonic problem정택선, 최규흥강원경기수학회 · 한국수학논문집2010 · 제18권 제1호At least two solutions for the semilinear biharmonic boundary value problem정택선, 최규흥강원경기수학회 · 한국수학논문집2014 · 제22권 제4호Multiplicity results for some fourth order elliptic equations최규흥, Yinghua Jin강원경기수학회 · 한국수학논문집2010 · 제18권 제4호
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