지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
Let H be a Hilbert space which is the direct sum
of five closed subspaces X0, X1,X2,X3 and X4 with X1,X2,X3 of finite dimension. Let
J be a C^{1,1} functional defined on H with J(0)=0. We
show the existence of at least four nontrivial critical points
when the sublevels of J (the torus with three holes and sphere)
link and the functional J satisfies sup-inf variational
inequality on the linking subspaces, and the functional J
satisfies (P.S.)^{*}_{c} condition and f|_{X_{0} X_{4}} <수식>
has no critical point with level $c$. For the proof of main
theorem we use the nonsmooth version of the classical deformation
lemma and the limit relative category theory.
목차
등록된 정보가 없습니다.
참고문헌 (14)
참고문헌 신청
A. C. Lazer / 1986 / Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues. II / Comm. Partial Differential Equations 11 (15) :
A. C. Lazer / 1990 / Large-amplitude periodic oscillations in suspension bridges: some new connections with nonlinear analysis / SIAM Rev 32 (4) : 537 ~ 578
A. C. Lazer / 1991 / Nonlinear flexings in a periodically forced floating beam / Math. Methods Appl. Sci. 14 (1) : 1 ~ 33
A. M. Micheletti / 2001 / Multiple nontrivial solutions for a floating beam equation via critical point theory / J. Differential Equations 170 (1) : 157 ~ 179
G. Fournier / 1993 / Limit relative category and critical point theory, Dynam / Report 3 : 1 ~ 23
A. C. Lazer / 1990 / Large-amplitude periodic oscillations in suspension bridges: some new connections with nonlinear analysis / SIAM Rev 32 (4) : 537 ~ 578
A. C. Lazer / 1991 / Nonlinear flexings in a periodically forced floating beam / Math. Methods Appl. Sci. 14 (1) : 1 ~ 33
A. M. Micheletti / 2001 / Multiple nontrivial solutions for a floating beam equation via critical point theory / J. Differential Equations 170 (1) : 157 ~ 179
G. Fournier / 1993 / Limit relative category and critical point theory, Dynam / Report 3 : 1 ~ 23
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
THE NUMBER OF THE CRITICAL POINTS OF THE STRONGLY INDEFINITE FUNCTIONAL WITH ONE PAIR OF THE TORUS-SPHERE VARIATIONAL LINKING SUBLEVELS
한국수학논문집
2008 .01
-
MULTIPLICITY RESULTS AND THE M-PAIRS OF TORUS-SPHERE VARIATIONAL LINKS OF THE STRONGLY INDEFINITE FUNCTIONAL
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2008 .12
-
VARIATIONAL APPROACH AND THE NUMBER OF THE NONTRIVIAL PERIODIC SOLUTIONS FOR A CLASS OF THE SYSTEM OF THE NONTRIVIAL SUSPENSION BRIDGE EQUATIONS
순수 및 응용수학
2009 .01
-
EXISTENCE OF SIX SOLUTIONS OF THE NONLINEAR HAMILTONIAN SYSTEM
호남수학학술지
2008 .01
-
SOLVABILITY FOR A CLASS OF THE SYSTEM OF THE NONLINEAR SUSPENSION BRIDGE EQUATIONS
호남수학학술지
2009 .01
-
INFINITELY MANY SOLUTIONS FOR A CLASS OF THE ELLIPTIC SYSTEMS WITH EVEN FUNCTIONALS
대한수학회지
2017 .01
-
Fourth order elliptic boundary value problem with square growth nonlinearity
한국수학논문집
2010 .01
-
Mountain pass geometry applied to the nonlinear mixed type elliptic problem
한국수학논문집
2009 .01
-
ON FUNCTIONAL INEQUALITIES ASSOCIATED WITH JORDAN–VON NEUMANN TYPE FUNCTIONAL EQUATIONS
대한수학회논문집
2008 .01
-
Boundary value problem for a class of the systems of the nonlinear elliptic equations
한국수학논문집
2009 .01
-
Nontrivial periodic solution for the superquadratic parabolic problem
한국수학논문집
2009 .01
-
ON OPTIMALITY THEOREMS FOR ROBUST NONSMOOTH OPTIMIZATION PROBLEMS
한국산업응용수학회 학술대회 논문집
2012 .11
-
Periodic solutions for the nonlinear Hamiltonian systems
한국수학논문집
2009 .01
-
VARIATIONAL RESULT FOR THE BIFURCATION PROBLEM OF THE HAMILTONIAN SYSTEM
대한수학회보
2015 .01
-
Hamiltonian system with the superquadratic nonlinearity and the limit relative category theory
한국수학논문집
2014 .01
-
On a functional central limit theorem for the linear process generated by associated random variables in a Hilbert space
대한수학회논문집
2008 .01
-
FRAMES AND SAMPLING THEOREMS IN MULTIWAVELET SUBSPACES
Journal of applied mathematics & informatics
2010 .01
-
Critical point theory and an asymmetric beam equation with two jumping nonlinear terms
한국수학논문집
2009 .01
-
Embedding in a Direct Limit
Kyungpook Mathematical Journal
2009 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0