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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We have a concern with the existence of solutions (»; ´)
for perturbations of the parabolic system with Dirichlet boundary
condition
We prove the uniqueness theorem when the nonlinearity does not
cross eigenvalues. We also investigate multiple solutions (»(x; t); ´(x; t))
for perturbations of the parabolic system with Dirichlet bound-
ary condition when the nonlinearity f0 is bounded and f0(¡1) <
¸1; ¸n < (3¹ + º)f0(+1) < ¸n+1.
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참고문헌 (15)
참고문헌 신청
A. Ambrosetti / 1973 / Dual variation methods in critical point theory and applications / J. Functional analysis 14 : 349 ~ 381
A. C. Lazer / 1988 / A symmetry theorem and applications to nonlinear partial differential equations / J. Differential Equations 72 : 95 ~ 106
A. C. Lazer / 1990 / Large-amplitude periodic oscillations in sus- pension bridges: some new connections with nonlinear analysis / SIAM Review 32 : 537 ~ 578
A. C. Lazer / 1994 / Global bifurcation and a theorem of Tarantello / J. Math. Anal. Appl 181 : 648 ~ 655
A. M. Micheletti / 1998 / Nontrivial solutions for some fourth order semi-linear elliptic problems / Nonlinear Analysis 34 : 509 ~ 523
A. C. Lazer / 1988 / A symmetry theorem and applications to nonlinear partial differential equations / J. Differential Equations 72 : 95 ~ 106
A. C. Lazer / 1990 / Large-amplitude periodic oscillations in sus- pension bridges: some new connections with nonlinear analysis / SIAM Review 32 : 537 ~ 578
A. C. Lazer / 1994 / Global bifurcation and a theorem of Tarantello / J. Math. Anal. Appl 181 : 648 ~ 655
A. M. Micheletti / 1998 / Nontrivial solutions for some fourth order semi-linear elliptic problems / Nonlinear Analysis 34 : 509 ~ 523
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