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Volumn 29, Issue 2, 2012, Pages 279-300

Sign-changing solutions of competition-diffusion elliptic systems and optimal partition problems

Author keywords

Elliptic systems; Minimax methods; Optimal partition problems; Sign changing solutions

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS;

EID: 84858709451     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpc.2011.10.006     Document Type: Article
Times cited : (80)

References (22)
  • 1
    • 77949774974 scopus 로고    scopus 로고
    • A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system
    • T. Bartsch, N. Dancer, and Z.-Q. Wang A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system Calc. Var. Partial Differential Equations 37 2010 345 361
    • (2010) Calc. Var. Partial Differential Equations , vol.37 , pp. 345-361
    • Bartsch, T.1    Dancer, N.2    Wang, Z.-Q.3
  • 3
    • 73249125601 scopus 로고    scopus 로고
    • Optimal partitions for eingenvalues
    • B. Bourdin, D. Bucur, and E. Oudet Optimal partitions for eingenvalues J. Sci. Comp. 6 2009 4100 4114
    • (2009) J. Sci. Comp. , vol.6 , pp. 4100-4114
    • Bourdin, B.1    Bucur, D.2    Oudet, E.3
  • 4
    • 0001182472 scopus 로고    scopus 로고
    • Existence results for some optimal partition problems
    • D. Bucur, G. Buttazzo, and A. Henrot Existence results for some optimal partition problems Adv. Math. Sci. Appl. 8 1998 571 579
    • (1998) Adv. Math. Sci. Appl. , vol.8 , pp. 571-579
    • Bucur, D.1    Buttazzo, G.2    Henrot, A.3
  • 5
    • 58149361424 scopus 로고    scopus 로고
    • Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries
    • L.A. Caffarelli, and F.-H. Lin Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries J. Amer. Math. Soc. 21 2008 847 862
    • (2008) J. Amer. Math. Soc. , vol.21 , pp. 847-862
    • Caffarelli, L.A.1    Lin, F.-H.2
  • 6
    • 34247383085 scopus 로고    scopus 로고
    • An optimal partition problem for eigenvalues
    • L.A. Caffarelli, and F.-H. Lin An optimal partition problem for eigenvalues J. Sci. Comp. 31 2007 5 18
    • (2007) J. Sci. Comp. , vol.31 , pp. 5-18
    • Caffarelli, L.A.1    Lin, F.-H.2
  • 7
    • 4344617682 scopus 로고    scopus 로고
    • Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates
    • S. Chang, C. Lin, T. Lin, and W. Lin Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates Phys. D 196 2004 341 361
    • (2004) Phys. D , vol.196 , pp. 341-361
    • Chang, S.1    Lin, C.2    Lin, T.3    Lin, W.4
  • 8
    • 79954591084 scopus 로고    scopus 로고
    • On a new index theory and non semi-trivial solutions for elliptic systems
    • K.-C. Chang, Z.-Q. Wang, and T. Zhang On a new index theory and non semi-trivial solutions for elliptic systems Discrete Contin. Dyn. Syst. 28 2010 809 826
    • (2010) Discrete Contin. Dyn. Syst. , vol.28 , pp. 809-826
    • Chang, K.-C.1    Wang, Z.-Q.2    Zhang, T.3
  • 9
    • 12144264150 scopus 로고    scopus 로고
    • On a class of optimal partition problems related to the Fucík spectrum and to the monotonicity formulae
    • DOI 10.1007/s00526-004-0266-9
    • M. Conti, S. Terracini, and G. Verzini On a class of optimal partition problems related to the Fucik spectrum and to the monotonicity formula Calc. Var. Partial Differential Equations 22 2005 45 72 (Pubitemid 40105957)
    • (2005) Calculus of Variations and Partial Differential Equations , vol.22 , Issue.1 , pp. 45-72
    • Conti, M.1    Terracini, S.2    Verzini, G.3
  • 11
    • 77951259041 scopus 로고    scopus 로고
    • A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system
    • N. Dancer, J.-C. Wei, and T. Weth A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system Ann. Inst. H. Poincaré Anal. Non Linéaire 27 2010 953 969
    • (2010) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.27 , pp. 953-969
    • Dancer, N.1    Wei, J.-C.2    Weth, T.3
  • 16
    • 70349559696 scopus 로고    scopus 로고
    • A Bahri-Lions theorem revisited
    • M. Ramos, H. Tavares, and W. Zou A Bahri-Lions theorem revisited Adv. Math. 222 2009 2173 2195
    • (2009) Adv. Math. , vol.222 , pp. 2173-2195
    • Ramos, M.1    Tavares, H.2    Zou, W.3
  • 17
    • 77951193393 scopus 로고    scopus 로고
    • Existence and bounds of positive solutions for a nonlinear Schrödinger system
    • B. Noris, and M. Ramos Existence and bounds of positive solutions for a nonlinear Schrödinger system Proc. Amer. Math. Soc. 138 2010 1681 1692
    • (2010) Proc. Amer. Math. Soc. , vol.138 , pp. 1681-1692
    • Noris, B.1    Ramos, M.2
  • 18
    • 84975896678 scopus 로고    scopus 로고
    • Convergence of minimax and continuation of critical points for singularly perturbed systems
    • in press
    • B. Noris, H. Tavares, S. Terracini, G. Verzini, Convergence of minimax and continuation of critical points for singularly perturbed systems, J. Eur. Math. Soc., in press.
    • J. Eur. Math. Soc.
    • Noris, B.1    Tavares, H.2    Terracini, S.3    Verzini, G.4
  • 19
    • 77951146882 scopus 로고    scopus 로고
    • Uniform Hölder bounds for nonlinear Schrödinger systems with strong competition
    • B. Noris, H. Tavares, S. Terracini, and G. Verzini Uniform Hölder bounds for nonlinear Schrödinger systems with strong competition Comm. Pure Appl. Math. 63 2010 267 302
    • (2010) Comm. Pure Appl. Math. , vol.63 , pp. 267-302
    • Noris, B.1    Tavares, H.2    Terracini, S.3    Verzini, G.4
  • 21
    • 43049127175 scopus 로고    scopus 로고
    • Asymptotic behaviour of solutions of planar elliptic systems with strong competition
    • J.-C. Wei, and T. Weth Asymptotic behaviour of solutions of planar elliptic systems with strong competition Nonlinearity 21 2008 305 317
    • (2008) Nonlinearity , vol.21 , pp. 305-317
    • Wei, J.-C.1    Weth, T.2
  • 22
    • 0039047039 scopus 로고
    • The Borsuk-Ulam theorem on product space
    • K.K. Tan, World Sci. Publ. River Edge, NJ
    • C. Zhong The Borsuk-Ulam theorem on product space K.K. Tan, Fixed Point Theory and Applications 1992 World Sci. Publ. River Edge, NJ 362 372
    • (1992) Fixed Point Theory and Applications , pp. 362-372
    • Zhong, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.