논문KCI 등재
Ground state solutions of non-resonant cooperative elliptic systems with superlinear terms
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we study the existence of ground state solutions for a class of non-resonant cooperative elliptic systems by a variant weak linking theorem. Here the classical Ambrosetti-Rabinowitz superquadratic condition is replaced by a general super quadratic condition.
Abstract
In this paper, we study the existence of ground state solutions for a class of non-resonant cooperative elliptic systems by a variant weak linking theorem. Here the classical Ambrosetti-Rabinowitz superquadratic condition is replaced by a general super quadratic condition.
참고문헌 (22)
- G. Chen, "Infinitely many solutions for resonant cooperative elliptic systems with sublinear or superlinear terms", Calc. Var. Partial Differential Equations, 49(1-2), pp.271~286 (2014)
- G. Chen, "Asymptotically or super linear cooperative elliptic systems in the whole space", Sci. China Math, 56(6), pp.1181~1194 (2013)
- D. G. Costa, "A variational approach to subquadratic perturbations of elliptic systems", J. Differential Equations, 111(1), pp.103~122 (1994)
- D. G. Costa, "A unified approach to a class of strongly indefinite functionals", J. Differential Equations, 125(2), pp.521~547 (1996)
- G. Fei, "Multiple solutions of some nonlinear strongly resonant elliptic equations without the (PS) condition", J. Math. Anal. Appl, 193(2), pp.659~670 (1995)
- M. Lazzo, "Nonlinear differential problems and Morse thoery", Nonlinear Anal, 30(1), pp.169~176 (1997)
- S. Li, "Computations of critical groups at degenerate critical point and applications to nonlinear differential equations with resonance", Houston J. Math, 25(3), pp.563~582 (1999)
- S. Li, "The Computations of the critical groups with an application to elliptic resonant problems at a higher eigenvalue", J. Math. Anal. Appl, 235(1), pp.237~259 (1999)
- S. Ma, "Infinitely many solutions for cooperative elliptic systems with odd nonlinearity", Nonlinear Anal, 71(5-6), pp.1445~1461 (2009)
- S. Ma, "Nontrivial solutions for resonant cooperative elliptic systems via computations of the critical groups", Nonlinear Anal, 73(12), pp.3856~3872 (2010)
- A. Pomponio, "Asymptotically linear cooperative elliptic system: existence and multiplicity", Nonlinear Anal, 52(3), pp.989~1003 (2003)
- P. H. Rabinowitz, "Minimax Methods in Critical Point Theory with Applications to Differential Equations", CBMS Reg. Conf. Ser. Math, 65 (1986), Amer. Math. Soc
- M. Ramos, "Solutions with multiple spike patterns for an elliptic system", Calc. Var. Partial Differential Equations, 31(1), pp.1~25 (2008)
- M. Ramos, "Spike-layered solutions for an elliptic system with Neumann boundary conditions", Trans. Amer. Math. Soc, 357(8), pp.3265~3284 (2005)
- M. Schechter, "Weak linking theorems and Schr¨odinger equations with critical Sobolev exponent", ESAIM Control Optim. Calc. Var, 9, pp.601~619 (2003)
- A. Szulkin, "Ground state solutions for some indefinite variational problems", J. Functional Analysis, 257(12), pp.3802~3822 (2009)
- C. -L. Tang, "Elliptic resonant problems at higher eigenvalues with an unbounded nonlinear term", J. Differential Equations, 146(1), pp.56~66 (1998)
- M. Willem, "Minimax Theorems" (1996), Birkh¨auser
- W. Zou, "Solutions for resonant elliptic systems with nonodd or odd nonlinearities", J. Math. Anal. Appl, 223(2), pp.397~417 (1998)
- W. Zou, "Multiple solutions for asymptotically linear elliptic systems", J. Math. Anal. Appl, 255(1), pp.213~229 (2001)
- W. Zou, "Nontrivial Solutions for resonant cooperative elliptic systems via computations of critical groups", Nonlinear Anal, 38(2), pp.229~247 (1999)
- W. Zou, "Infinitely many solutions for Hamiltonian systems", J. Differential Equations, 186(1), pp.141~164 (2002)
관련 논문AI추천
Nontrivial solutions for an elliptic system남혜원, 이성철강원경기수학회 · 한국수학논문집2015 · 제23권 제1호Existence of solutions for elliptic system with nonlinearities under the Dirichlet boundary condition남혜원강원경기수학회 · 한국수학논문집2015 · 제23권 제4호Multiplicity result of the solutions for a class of the elliptic systems with subcritical Sobolev exponents정택선, 최규흥강원경기수학회 · 한국수학논문집2015 · 제23권 제4호An application of a linking method to a general elliptic system남혜원강원경기수학회 · 한국수학논문집2010 · 제18권 제1호On a class of noncooperative fourth-order elliptic systems with nonlocal terms and critical growthNguyen Thanh Chung대한수학회 · 대한수학회지2019 · 제56권 제5호Boundary 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 제1호
이 간행물의 다른 논문 (22건)
WHEN AN S-CLOSED SUBMODULE IS A DIRECT SUMMANDYongduo Wang, Dejun Wupp. 613-619Solutions of systems of variational inequalities on fixed points of nonexpansive mappingsHossein Piripp. 621-640Convex solutions of the polynomial-like iterative equation on open setXiaobing Gongpp. 641-651Results of certain local cohomology modulesAtiyeh Pour Eshmanan Talemi, Amir Mafipp. 653-657T-NEIGHBORHOODS IN VARIOUS CLASSES OF ANALYTIC FUNCTIONSAli Ebadian, Mahta Sayadiazar, Janusz Sokol, Saeid Shamspp. 659-666
