메뉴 건너뛰기




Volumn 145, Issue 3, 1998, Pages 261-289

Pointwise growth and uniqueness of positive solutions for a class of sublinear elliptic problems where bifurcation from infinity occurs

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0039758211     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002050050130     Document Type: Article
Times cited : (83)

References (20)
  • 1
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces
    • H. AMANN, Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces, SIAM Review 18 (1976) 620-709.
    • (1976) SIAM Review , vol.18 , pp. 620-709
    • Amann, H.1
  • 3
    • 46149141759 scopus 로고
    • Remarks on sublinear elliptic equations
    • H. BREZIS & L. OSWALD, Remarks on sublinear elliptic equations, Nonl. Anal. TMA 10 (1986) 55-64.
    • (1986) Nonl. Anal. TMA , vol.10 , pp. 55-64
    • Brezis, H.1    Oswald, L.2
  • 5
  • 6
    • 0015746829 scopus 로고
    • Bifurcation, perturbation of simple eigenvalues and linearized stability
    • M. G. CRANDALL & P. H. RABINOWITZ, Bifurcation, perturbation of simple eigenvalues and linearized stability, Arch. Rational Mech. Anal. 52 (1973) 161-180.
    • (1973) Arch. Rational Mech. Anal. , vol.52 , pp. 161-180
    • Crandall, M.G.1    Rabinowitz, P.H.2
  • 7
    • 0030143853 scopus 로고    scopus 로고
    • Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear equation
    • J. M. FRAILE, P. KOCH-MEDINA, J. LÓPEZ-GÓMEZ & S. MERINO, Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear equation, J. Diff. Eqns. 127 (1996) 295-319.
    • (1996) J. Diff. Eqns. , vol.127 , pp. 295-319
    • Fraile, J.M.1    Koch-Medina, P.2    López-Gómez, J.3    Merino, S.4
  • 8
    • 0000403205 scopus 로고
    • On the global structure of the set of positive solutions of some semilinear elliptic boundary value problems
    • J. M. FRAILE, J. LÓPEZ-GÓMEZ & J. C. SABINA, On the global structure of the set of positive solutions of some semilinear elliptic boundary value problems, J. Diff. Eqns. 123 (1995) 180-212.
    • (1995) J. Diff. Eqns. , vol.123 , pp. 180-212
    • Fraile, J.M.1    López-Gómez, J.2    Sabina, J.C.3
  • 9
    • 0031077189 scopus 로고    scopus 로고
    • Sub- and super-solutions in bifurcation problems
    • J. L. GÁMEZ, Sub- and Super-solutions in bifurcation problems, Nonl. Anal. TMA 28 (1997) 625-632.
    • (1997) Nonl. Anal. TMA , vol.28 , pp. 625-632
    • Gámez, J.L.1
  • 11
    • 0040906512 scopus 로고
    • A singular elliptic boundary value problem
    • A. C. LAZER & P. J. MCKENNA, A singular elliptic boundary value problem, Appl. Maths. Comp. 65 (1994) 183-194.
    • (1994) Appl. Maths. Comp. , vol.65 , pp. 183-194
    • Lazer, A.C.1    McKenna, P.J.2
  • 12
    • 0030140612 scopus 로고
    • The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
    • J. LÓPEZ-GÓMEZ, The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems, J. Diff. Eqns. 127 (1986) 263-294.
    • (1986) J. Diff. Eqns. , vol.127 , pp. 263-294
    • López-Gómez, J.1
  • 13
    • 4244186207 scopus 로고    scopus 로고
    • On the uniqueness of positive solutions for a class of sublinear elliptic problems
    • J. LÓPEZ-GÓMEZ, On the uniqueness of positive solutions for a class of sublinear elliptic problems, Boll. Un. Mat. Ital. 11-B (1997) 697-711.
    • (1997) Boll. Un. Mat. Ital. , vol.11 B , pp. 697-711
    • López-Gómez, J.1
  • 14
    • 0006519027 scopus 로고
    • Structure and numerical continuation of solution manifolds in a strong coupled elliptic system
    • J. LÓPEZ-GÓMEZ, J. C. EILBECK, K. DUNCAN & M. MOLINA-MEYER, Structure and numerical continuation of solution manifolds in a strong coupled elliptic system, IMA J. Numer. Anal. 12 (1992) 405-428.
    • (1992) IMA J. Numer. Anal. , vol.12 , pp. 405-428
    • López-Gómez, J.1    Eilbeck, J.C.2    Duncan, K.3    Molina-Meyer, M.4
  • 15
    • 0002507352 scopus 로고    scopus 로고
    • First variations of principal eigenvalues with respect to the domain andpointwise growth of positive solutions for problems where bifurcation from infinity occurs
    • J. LÓPEZ-GÓMEZ & J. C. SABINA, First variations of principal eigenvalues with respect to the domain andpointwise growth of positive solutions for problems where bifurcation from infinity occurs, J. Diff. Eqns. 148 (1998) 47-64.
    • (1998) J. Diff. Eqns. , vol.148 , pp. 47-64
    • López-Gómez, J.1    Sabina, J.C.2
  • 17
    • 84966242258 scopus 로고
    • p = 0 on the compact manifolds
    • p = 0 on the compact manifolds, Trans. Amer. Math. Soc. 331 (1992) 503-527.
    • (1992) Trans. Amer. Math. Soc. , vol.331 , pp. 503-527
    • Ouyang, T.1
  • 18
    • 36448974335 scopus 로고
    • Some global results for nonlinear eigenvalue problems
    • P. H. RABINOWITZ, Some global results for nonlinear eigenvalue problems, J. Funct. Anal. 7 (1971) 487-513.
    • (1971) J. Funct. Anal. , vol.7 , pp. 487-513
    • Rabinowitz, P.H.1
  • 20
    • 0001335714 scopus 로고
    • A strong maximum principle for some quasilinear elliptic equations
    • J. L. VÁZQUEZ, A strong maximum principle for some quasilinear elliptic equations, Appl. Math. Optim. 12 (1984) 191-202.
    • (1984) Appl. Math. Optim. , vol.12 , pp. 191-202
    • Vázquez, J.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.