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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 41 - 50 (10page)
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Thispaperisdealtwithone-dimensionalellipticjumpingprob- lem with nonlinearities crossing n eigenvalues. We get one theorem which shows multiplicity results for solutions of one-dimensional elliptic bound- ary value problem with jumping nonlinearities. This theorem is that there exist at least two solutions when nonlinearities crossing odd eigenvalues, at least three solutions when nonlinearities crossing even eigenvalues, exactly one solutions and no solution depending on the source term. We obtain these results by the eigenvalues and the corresponding normalized eigen- functions of the elliptic eigenvalue problem and Leray-Schauder degree theory.
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참고문헌 (13)
참고문헌 신청
RA. Adams / 2003 / Sobolev spaces / Academic Press
Q. H. Choi / 1999 / A nonlinear suspension bridge equation with nonconstant load / Nonlinear Analysis TMA 35:649~668
Q.H. Choi / 1995 / An application of a variational reduction method to a nonlinear wave equation / J. Diff. Eq 117:390~410
Q.H. Choi / 2002 / Multiplicity results for the nonlinear suspension bridge equa-tion, Dynamics of Continuous, Discrete and Impulsive Systems Series A / Mathematical Analysis 9:29~38
Q.H. Choi / 1993 / The study of a nonlinear suspension bridge equation by a variational reduction method / Applicable Analysis 50:73~92
Q. H. Choi / 1999 / A nonlinear suspension bridge equation with nonconstant load / Nonlinear Analysis TMA 35:649~668
Q.H. Choi / 1995 / An application of a variational reduction method to a nonlinear wave equation / J. Diff. Eq 117:390~410
Q.H. Choi / 2002 / Multiplicity results for the nonlinear suspension bridge equa-tion, Dynamics of Continuous, Discrete and Impulsive Systems Series A / Mathematical Analysis 9:29~38
Q.H. Choi / 1993 / The study of a nonlinear suspension bridge equation by a variational reduction method / Applicable Analysis 50:73~92
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