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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.12 No.3
- 발행연도
- 2008.9
- 수록면
- 161 - 169 (9page)
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초록· 키워드
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We investigate the existence of solutions u(χ, t) for perturbations of the elliptic system with Dirichlet boundary condition
Lξ + ㎍(ξ + 2η) = f in Ω,
Lη + vg(ξ + 2η) = f in Ω, (0.1)
where ｇ(u) = Bu? - Au?. u? = max{u, 0}. u? = max{-u, 0}. μ,v, are nonzero constants and the nonlinearity (μ + 2v)g(u) crosses the eigenvalues of the elliptic operator L.
Lξ + ㎍(ξ + 2η) = f in Ω,
Lη + vg(ξ + 2η) = f in Ω, (0.1)
where ｇ(u) = Bu? - Au?. u? = max{u, 0}. u? = max{-u, 0}. μ,v, are nonzero constants and the nonlinearity (μ + 2v)g(u) crosses the eigenvalues of the elliptic operator L.
목차
ABSTRACT
1. INTRODUCTION
2. A SINGLE NONLINEAR ELLIPTIC EQUATION
3. MULTIPLE SOLUTIONS FOR THE ELLIPTIC SYSTEM
ACKNOWLEDGMENTS
REFERENCES
참고문헌 (14)
참고문헌 신청
1. [학술지(정기간행물)] - H.Amann / 1979 / Saddle points and multiple solutions of differential equation / Math.Z 169 : 27 ~ 166
2. [학술지(정기간행물)] - A. Ambrosetti / 1973 / Dual variation methods in critical point theory and applications / J. Functional analysis 14 : 349 ~ 381
3. [학술지(정기간행물)] - Q. H. Choi / 1993 / The study of a nonlinear suspension bridge equation by a variational reduction mehtod / Appl. Anal 50 : 73 ~ 92
4. [학술지(정기간행물)] - Q. H. Choi / 1996 / The multiplicity of solutions and geometry of the nonlinear elliptic equation / Studia Math 120 : 259 ~ 270
5. [학술지(정기간행물)] - Q. H. Choi / 1995 / An application of a variational reduction method to a nonlinear wave equation / J. Differential equations 117 : 390 ~ 410
2. [학술지(정기간행물)] - A. Ambrosetti / 1973 / Dual variation methods in critical point theory and applications / J. Functional analysis 14 : 349 ~ 381
3. [학술지(정기간행물)] - Q. H. Choi / 1993 / The study of a nonlinear suspension bridge equation by a variational reduction mehtod / Appl. Anal 50 : 73 ~ 92
4. [학술지(정기간행물)] - Q. H. Choi / 1996 / The multiplicity of solutions and geometry of the nonlinear elliptic equation / Studia Math 120 : 259 ~ 270
5. [학술지(정기간행물)] - Q. H. Choi / 1995 / An application of a variational reduction method to a nonlinear wave equation / J. Differential equations 117 : 390 ~ 410
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