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Volumn 125, Issue 7, 1997, Pages 1997-2005

Solution curves for semilinear equations on a ball

Author keywords

Crandall rabinowitz theorem; Dirichlet problem on a ball

Indexed keywords


EID: 21744446009     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-04119-1     Document Type: Article
Times cited : (42)

References (12)
  • 1
    • 0015746829 scopus 로고
    • Bifurcation, perturbation of simple eigenvalues and linearized stability
    • MR 49:5962
    • M.G. Crandall and P.H. Rabinowitz, Bifurcation, perturbation of simple eigenvalues and linearized stability, Arch. Rational Mech. Anal. 52, 161-180 (1973). MR 49:5962
    • (1973) Arch. Rational Mech. Anal. , vol.52 , pp. 161-180
    • Crandall, M.G.1    Rabinowitz, P.H.2
  • 2
    • 0001069004 scopus 로고
    • On the structure of solutions of an equation in catalysis theory when a parameter is large
    • MR 82b:35018
    • E.N. Dancer, On the structure of solutions of an equation in catalysis theory when a parameter is large, J. Differ. Equations 37, 404-437 (1980). MR 82b:35018
    • (1980) J. Differ. Equations , vol.37 , pp. 404-437
    • Dancer, E.N.1
  • 4
    • 84974488953 scopus 로고
    • The set of positive solutions of semilinear equations in large balls
    • MR 88e:35063
    • R. Gardner and L.A. Peletier, The set of positive solutions of semilinear equations in large balls, Proc. Royal Soc. Edinburgh 104A, 53-72 (1986). MR 88e:35063
    • (1986) Proc. Royal Soc. Edinburgh , vol.104 , pp. 53-72
    • Gardner, R.1    Peletier, L.A.2
  • 5
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • MR 80h:35043
    • B. Gidas, VV.-M. Ni and L. Nirenberg, Symmetry and related properties via the maximum principle, Commun. Math. Phys. 68, 209-243 (1979). MR 80h:35043
    • (1979) Commun. Math. Phys. , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, V.V.-M.2    Nirenberg, L.3
  • 6
    • 0001543629 scopus 로고
    • Uniqueness of global positive solution branches of nonlinear elliptic problems
    • MR 95m:35068
    • M. Holzmann and H. Kielhöfer, Uniqueness of global positive solution branches of nonlinear elliptic problems, Math. Ann. 300, 221-241 (1994). MR 95m:35068
    • (1994) Math. Ann. , vol.300 , pp. 221-241
    • Holzmann, M.1    Kielhöfer, H.2
  • 7
    • 33646721498 scopus 로고    scopus 로고
    • Steady states and long time behavior of some convective reaction-diffusion equations
    • To appear
    • P. Korman, Steady states and long time behavior of some convective reaction-diffusion equations, To appear in Funkcialaj Ekvacioj.
    • Funkcialaj Ekvacioj.
    • Korman, P.1
  • 8
    • 21344474527 scopus 로고    scopus 로고
    • Exact multiplicity results for boundary-value problems with nonlinearities generalizing cubic
    • CMP 96:14
    • P. Korman, Y. Li and T. Ouyang, Exact multiplicity results for boundary-value problems with nonlinearities generalizing cubic, Proc. Royal Soc. Edinburgh Ser. A 126A, 599-616 (1996). CMP 96:14
    • (1996) Proc. Royal Soc. Edinburgh Ser. a , vol.126 A , pp. 599-616
    • Korman, P.1    Li, Y.2    Ouyang, T.3
  • 9
    • 33646751637 scopus 로고    scopus 로고
    • An exact multiplicity result for a class of semilinear equations
    • To appear
    • P. Korman, Y. Li and T. Ouyang, An exact multiplicity result for a class of semilinear equations, To appear in Comm. in PDE.
    • Comm. in PDE.
    • Korman, P.1    Li, Y.2    Ouyang, T.3
  • 10
    • 84966214197 scopus 로고
    • A counterexample to the nodal domain conjecture and a related semilinear equation
    • MR 88k:35014
    • O.S. Lin and W.-M. Ni, A counterexample to the nodal domain conjecture and a related semilinear equation, Proc. Amer. Math. Soc. 102, 271-277 (1988). MR 88k:35014
    • (1988) Proc. Amer. Math. Soc. , vol.102 , pp. 271-277
    • Lin, O.S.1    Ni, W.-M.2
  • 12
    • 0005740527 scopus 로고
    • Existence, uniqueness, and nondegeneracy of positive solution of semilinear elliptic equations
    • MR 86c:35058
    • J.A. Smoller and A.G. Wasserman, Existence, uniqueness, and nondegeneracy of positive solution of semilinear elliptic equations, Commun. Math. Phys. 95, 129-159 (1984). MR 86c:35058
    • (1984) Commun. Math. Phys. , vol.95 , pp. 129-159
    • Smoller, J.A.1    Wasserman, A.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.