논문KCI 등재
Boundary value problem for a class of the systems of the nonlinear elliptic equations
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We show the existence of at least two nontrivial solutions for a class of the systems of the nonlinear elliptic equations with Dirichlet boundary condition under some conditions for the nonlinear term. We obtain this result by using the variational linking theory in the critical point theory.
Abstract
We show the existence of at least two nontrivial solutions for a class of the systems of the nonlinear elliptic equations with Dirichlet boundary condition under some conditions for the nonlinear term. We obtain this result by using the variational linking theory in the critical point theory.
참고문헌 (22)
- A. Ambrosetti, "Dual variational methods in critical point theory and applications", J. Funct. Anal., 14, pp.349~381 (1973)
- A. Castro, "Multiple Solutions for a nonlinear Dirichlet problem", SIAM J. Math. Anal, 25(6), pp.1554~1561 (1994)
- A. Castro, "Critical point theory and the number of solutions of a nonlinear Dirichlet problem", Ann. Mat. Pura Appl, 120(4), pp.113~137 (1979)
- K. C. Chang, "Solutions of asymptotically linear operator equations via Morse theory", Comm. Pure Appl. Math, 34, pp.693~712 (1981)
- K. C. Chang, "In¯nite dimensional Morse theory and multiple solution prob-lems" (1993), BirkhÄauser
- E. N. Dancer, "On the Dirichlet problem for weakly nonlinear elliptic partial differential equations", Proc. Roy. Soc. Edinb, 76, pp.283~300 (1977)
- Q. H. Choi, "Multiple periodic solutions of a semilinear wave equation at double external resonances", Commun. Applied Analysis, 3, pp.73~84 (1999)
- M. Degiovanni, "Homotopical properties of a class of nonsmooth functions", Ann. Mat. Pura Appl, 156, pp.37~71 (1990)
- M. Degiovanni, "Evolution equations with lack of convexity", Nonlinear Anal, 9, pp.1401~1433 (1985)
- D.R. Dunninger, "Multiplicity of positive radial solutions for an ellip-tic system on an annulus domain", Nonlinear Analysis TMA, 42(5) (2000)
- Limit relative category and critical point theory, "G. Fournier", Dynam., 1~23, pp.3 (1993)
- A. Groli, "Variational theorems of mixed type and asymptotically linear variational inequalities", Topological Methods in Nonlin-ear Analysis, 12, pp.109~136 (1998)
- K.S. Ha, "Existence of multiple positive solutions of singular boundary value problems", Nonlinear Analysis, TMA, 28, pp.1429~1438 (1997)
- H. Hofer, "Variational and topological methods in partially ordered Hilbert spaces", Math. Ann, 261, pp.493~514 (1982)
- K. Lan, "Positive solutions of semilinear equation with singularities", J. Differential Equations, 148, pp.407~421 (1998)
- Y.H. Lee, "Existence of multiple positive radial solutions for a semilinear elliptic system on an unbounded domain", Nonlinear Analysis, TMA, 47, pp.3649~3660 (2001)
- Y.H. Lee, "A multiplicity result of positive radial solutions for a multiparameter elliptic system on an exterior domain", Nonlinear Analysis, TMA, 45, pp.597~611 (2001)
- Y.H. Lee, "Multiplicity of positive radial solutions for multiparameter semilinear elliptic systems on an annulus", J. Differential Equations, 174, pp.420~441 (2001)
- A. Marino, "Nabla theorems and multiple solutions for some non-cooperative elliptic systems, Sezione Di Annalisi Mathematica E Probabilita", Dipartimento di Mathematica, universita di Pisa, ~ (2000)
- A. Marino, "Some variational theorems of mixed type and elliptic problems with jumping nonlinearities", Ann. Scuola Norm, (Sup), pp.631~665 (1997)
- A. M. Micheletti, "Multiplicity results for a fourth-order semilinear elliptic problem", Nonlinear Analysis, TMA, 31(7), pp.895~908 (1998)
- P. H. Rabinowitz, "Minimax methods in critical point theory with applications to differential equations", C.B.M.S. Reg. Conf. Ser. in Math. 6, American Math-ematical Society, Providence, R1 (1986)
관련 논문AI추천
SOLVABILITY FOR A CLASS OF THE SYSTEMS OF THE NONLINEAR ELLIPTIC EQUATIONS정택선, 최규흥대한수학회 · 대한수학회보2012 · 제49권 제1호Existence of solutions for elliptic system with nonlinearities under the Dirichlet boundary condition남혜원강원경기수학회 · 한국수학논문집2015 · 제23권 제4호Existence of the solutions for the singular potential elliptic system정택선, 최규흥강원경기수학회 · 한국수학논문집2012 · 제20권 제1호Boundary value problem for a class of the cooperative elliptic system involving critical Sobolev exponentsQ. H. Choi, T. Jung장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제1호Nontrivial solutions for an elliptic system남혜원, 이성철강원경기수학회 · 한국수학논문집2015 · 제23권 제1호Dirichlet boundary value problem for a class of the noncooperative elliptic system정택선, 최규흥강원경기수학회 · 한국수학논문집2015 · 제23권 제2호
이 간행물의 다른 논문 (11건)
ISOMETRIC IMMERSIONS OF FINSLER MANIFOLDS이난이, 원대연pp. 1-13covering and intersection conditions for prime ideals장규환, 황철주pp. 15-23Spectrums of weighted left regular isometries of a strongly perforated semigroup김병준, 장선영, 강영준, 이태우, 전성훈pp. 25-36Dirichlet-Jordan theorem on SIM spaceS. Supratid, 김화준, S. Lekcharoenpp. 37-41Remarks on Gauss sums over Galois rings유원석, 권태룡pp. 43-52
