논문KCI 등재
An application of the Leray-Schauder degree theory to the variable coefficient semilinear biharmonic problem
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We obtain multiplicity results for the nonlinear biharmonic problem with variable coefficient. We prove by the Leray-Schauder degree theory that the nonlinear biharmonic problem has multiple solutions for the biharmonic problem with the variable coefficient semilinear term under some conditions.
Abstract
We obtain multiplicity results for the nonlinear biharmonic problem with variable coefficient. We prove by the Leray-Schauder degree theory that the nonlinear biharmonic problem has multiple solutions for the biharmonic problem with the variable coefficient semilinear term under some conditions.
참고문헌 (5)
- Choi, Q. H, "Multiplicity results on nonlinear biharmonic operator", Rocky Mountain J. Math, 29(1), pp.141~164 (1999)
- Jung, T. S, "Multiplicity results on a nonlinear biharmonic equation", Nonlinear Anal, 30(8), pp.5083~5092 (1997)
- McKenna, P. J., "On the multiplicity of the solution set of some nonlinear boundary value problems", Nonlinear Anal, 8, pp.893~907 (1984)
- Micheletti, A. M, "Multiplicity results for a fourth-order semilinear elliptic problem", Nonlinear Anal, 31(7), pp.895~908 (1998)
- Tarantello, "A note on a semilinear elliptic problem", Differential Integral Equations, 5(3), pp.561~565 (1992)
관련 논문AI추천
Elliptic problem with a variable coefficient and a jumping semilinear term정택선, 최규흥강원경기수학회 · 한국수학논문집2012 · 제20권 제1호A bifurcation problem for the biharmonic operator정택선, 최규흥강원경기수학회 · 한국수학논문집2012 · 제20권 제2호Number of the nontrivial solutions of the nonlinear biharmonic problem정택선, 최규흥강원경기수학회 · 한국수학논문집2010 · 제18권 제2호Nonlinear biharmonic problem with variable coefficient exponential growth term정택선, 최규흥강원경기수학회 · 한국수학논문집2010 · 제18권 제3호Reduction method applied to the nonlinear biharmonic problem정택선, 최규흥강원경기수학회 · 한국수학논문집2010 · 제18권 제1호At least two solutions for the semilinear biharmonic boundary value problem정택선, 최규흥강원경기수학회 · 한국수학논문집2014 · 제22권 제4호
이 간행물의 다른 논문 (9건)
ON A CERTAIN CLASS OF (_p-)VALENT UNIFORMLY CONVEX FUNCTIONS USING DIFFERENTIAL OPERATOR이상근, S. M. Rajas, S. M. Khairnarpp. 1-16GENERALIZED QUADRATIC MAPPINGS IN 2d VARIABLES조열제, 이상한, 박춘길pp. 17-24ON THE ES CURVATURE TENSOR IN g − ESX_n황인호pp. 25-32Functional equations in Banach modules and approximate algebra homomorphisms in Banach algebras부덕훈, 박춘길, Hassan Azadi Kenarypp. 33-52Convergence of integrable semigroups이영섭pp. 53-59