메뉴 건너뛰기




Volumn 5, Issue 2, 2009, Pages 319-351

The geometry of solutions to a segregation problem for nondivergence systems

Author keywords

Free boundary; Nondivergence problem; Segregation of species; Singular point

Indexed keywords


EID: 71449121736     PISSN: 16617738     EISSN: 16617746     Source Type: Journal    
DOI: 10.1007/s11784-009-0110-0     Document Type: Article
Times cited : (54)

References (22)
  • 1
    • 84966241483 scopus 로고
    • Jr. Q valued functions minimizing Dirichlet's integral and the regularity of area minimizing rectifiable currents up to codimension two
    • F. J. Almgren, Jr. Q valued functions minimizing Dirichlet's integral and the regularity of area minimizing rectifiable currents up to codimension two. Bull. Amer. Math. Soc. (N.S.) 8 (1983), 327-328.
    • (1983) Bull. Amer. Math. Soc. (N.S.) , vol.8 , pp. 327-328
    • Almgren, F.J.1
  • 2
    • 84967774571 scopus 로고
    • Variational problems with two phases and their free boundaries
    • H. W. Alt, L. A. Caffarelli, and A. Friedman, Variational problems with two phases and their free boundaries. Trans. Amer. Math. Soc. 282, (1984), 431-461.
    • (1984) Trans. Amer. Math. Soc. , vol.282 , pp. 431-461
    • Alt, H.W.1    Caffarelli, L.A.2    Friedman, A.3
  • 5
    • 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. Comput. 31 (2007), 5-18.
    • (2007) J. Sci. Comput. , vol.31 , pp. 5-18
    • Caffarelli, L.A.1    Lin, F.-H.2
  • 7
    • 0041125729 scopus 로고    scopus 로고
    • 1,p estimates for elliptic equations in divergence form
    • 1,p estimates for elliptic equations in divergence form. Comm. Pure Appl. Math. 51 (1998), 1-21.
    • (1998) Comm. Pure Appl. Math. , vol.51 , pp. 1-21
    • Caffarelli, L.A.1    Peral, I.2
  • 8
    • 33846815194 scopus 로고    scopus 로고
    • Uniform Hölder estimates in a class of elliptic systems and applications to singular limits in models for diffusion flames
    • L. A. Caffarelli and J.-M. Roquejoffre, Uniform Hölder estimates in a class of elliptic systems and applications to singular limits in models for diffusion flames. Arch. Ration. Mech. Anal. 183 (2007), 457-487.
    • (2007) Arch. Ration. Mech. Anal. , vol.183 , pp. 457-487
    • Caffarelli, L.A.1    Roquejoffre, J.-M.2
  • 9
    • 33947704957 scopus 로고    scopus 로고
    • A Geometric Approach to the Free Boundary Problems
    • Amer. Math. Soc., Providence, RI
    • L. A. Caffarelli and S. Salsa, A Geometric Approach to the Free Boundary Problems. Grad. Stud. Math. 68, Amer. Math. Soc., Providence, RI, 2005.
    • (2005) Grad. Stud. Math. , vol.68
    • Caffarelli, L.A.1    Salsa, S.2
  • 10
    • 4344617682 scopus 로고    scopus 로고
    • Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates
    • S.-M. Chang, C.-S. Lin, T.-C. Lin, and W.-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.-M.1    Lin, C.-S.2    Lin, T.-C.3    Lin, W.-W.4
  • 11
    • 0032328374 scopus 로고    scopus 로고
    • A strong unique continuation theorem for parabolic equations
    • X.-Y. Chen, A strong unique continuation theorem for parabolic equations. Math. Ann. 311 (1998), 603-630.
    • (1998) Math. Ann. , vol.311 , pp. 603-630
    • Chen, X.-Y.1
  • 13
    • 0037455845 scopus 로고    scopus 로고
    • An optimal partition problem related to nonlinear eigenvalues
    • M. Conti, S. Terracini, and G. Verzini, An optimal partition problem related to nonlinear eigenvalues. J. Funct. Anal. 198 (2003), 160-196.
    • (2003) J. Funct. Anal. , vol.198 , pp. 160-196
    • Conti, M.1    Terracini, S.2    Verzini, G.3
  • 14
    • 18644361832 scopus 로고    scopus 로고
    • Asymptotic estimates for the spatial segregation of competitive systems
    • M. Conti, S. Terracini, and G. Verzini, Asymptotic estimates for the spatial segregation of competitive systems. Adv. Math. 195 (2005), 524-560.
    • (2005) Adv. Math. , vol.195 , pp. 524-560
    • Conti, M.1    Terracini, S.2    Verzini, G.3
  • 15
    • 23244445487 scopus 로고    scopus 로고
    • A variational problem for the spatial segregation of reaction-diffusion systems
    • M. Conti, S. Terracini, and G. Verzini, A variational problem for the spatial segregation of reaction-diffusion systems. Indiana Univ. Math. J. 54 (2005), 779-815.
    • (2005) Indiana Univ. Math. J. , vol.54 , pp. 779-815
    • Conti, M.1    Terracini, S.2    Verzini, G.3
  • 17
    • 0001109545 scopus 로고
    • Monotonicity properties of variational integrals, Ap weights and unique continuation
    • N. Garofalo and F.-H. Lin, Monotonicity properties of variational integrals, Ap weights and unique continuation. Indiana Univ. Math. J. 35 (1986), 245-268.
    • (1986) Indiana Univ Math. J. , vol.35 , pp. 245-268
    • Garofalo, N.1    Lin, F.-H.2
  • 18
    • 2942569812 scopus 로고    scopus 로고
    • Second order equations of elliptic and parabolic type
    • American Mathematical Society, Providence, RI
    • E. Landis, Second order equations of elliptic and parabolic type. Translations of Mathematical Monographs, 171. American Mathematical Society, Providence, RI, 1998.
    • (1998) Translations of Mathematical Monographs , vol.171
    • Landis, E.1
  • 19
    • 0001993578 scopus 로고    scopus 로고
    • Static and moving vortices in Ginzburg-Landau theories
    • (Knoxville, TN, 1995), Progr. Nonlinear Differential Equations Appl. 29, Birkhäuser, Basel
    • F.-H. Lin, Static and moving vortices in Ginzburg-Landau theories. In: Nonlinear Partial Differential Equations in Geometry and Physics (Knoxville, TN, 1995), Progr. Nonlinear Differential Equations Appl. 29, Birkhäuser, Basel, 1997, 71-111.
    • (1997) Nonlinear Partial Differential Equations In Geometry and Physics , pp. 71-111
    • Lin, F.-H.1
  • 20
    • 84990619714 scopus 로고
    • Nodal sets of solutions of elliptic and parabolic equations
    • F.-H. Lin, Nodal sets of solutions of elliptic and parabolic equations. Comm. Pure Appl. Math. 44 (1991), 287-308.
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 287-308
    • Lin, F.-H.1
  • 22
    • 0001952156 scopus 로고
    • Regular points for elliptic equations with discontinuous coefficients
    • W. Littman, G. Stampacchia, and H. F. Weinberger, Regular points for elliptic equations with discontinuous coefficients. Ann. Scuola Norm. Sup. Pisa (3) 17 (1963),43-77.
    • (1963) Ann. Scuola Norm. Sup. Pisa , vol.17 , Issue.3 , pp. 43-77
    • Littman, W.1    Stampacchia, G.2    Weinberger, H.F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.