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Volumn 12, Issue 3, 2005, Pages 413-424

Invariant criteria for existence of bounded positive solutions

Author keywords

Barrier methods; Entire bounded solution; Invariant criteria

Indexed keywords


EID: 15744399677     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2005.12.413     Document Type: Article
Times cited : (37)

References (20)
  • 1
    • 51249162198 scopus 로고
    • Large solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behavior
    • Bandle, C.; Marcus, M. (1992): Large solutions of semilinear elliptic equations: existence, uniqueness and asymptotic behavior. J. Anal. Math. 58, 9-24
    • (1992) J. Anal. Math. , vol.58 , pp. 9-24
    • Bandle, C.1    Marcus, M.2
  • 6
    • 0010957769 scopus 로고
    • Qualitative methods for nonlinear diffusion equations
    • Hernandez, J. (1986): Qualitative methods for nonlinear diffusion equations. Lecture Notes in Math., Springer. 1224, 47-118
    • (1986) Lecture Notes in Math., Springer , vol.1224 , pp. 47-118
    • Hernandez, J.1
  • 7
    • 0016949957 scopus 로고
    • On the solvability of nonlinear elliptic boundary value problems
    • Hess, P. (1976): On the solvability of nonlinear elliptic boundary value problems. Indiana Univ. Math. J. 25(5), 461-466
    • (1976) Indiana Univ. Math. J. , vol.25 , Issue.5 , pp. 461-466
    • Hess, P.1
  • 8
    • 84980083679 scopus 로고
    • On the solution of Δu = f(u)
    • Keller, J.B. (1957): On the solution of Δu = f(u), Comm. Pure Appl. Math. 10, 503-510
    • (1957) Comm. Pure Appl. Math. , vol.10 , pp. 503-510
    • Keller, J.B.1
  • 9
    • 0000427933 scopus 로고
    • An exterior Dirichlet problem with applications to some nonlinear equations arising in geometry
    • Kenig, C.E.; Ni, W.M. (1984): An exterior Dirichlet problem with applications to some nonlinear equations arising in geometry. Amer. J. Math. 106, 689-702
    • (1984) Amer. J. Math. , vol.106 , pp. 689-702
    • Kenig, C.E.1    Ni, W.M.2
  • 10
    • 0002604543 scopus 로고
    • Bounded entire solutions of second order semilinear elliptic equations with application to a parabolic initial value problem
    • Kusano, T.; Oharu, S. (1985): Bounded entire solutions of second order semilinear elliptic equations with application to a parabolic initial value problem. Indiana Univ. Math. J. 34(1), 85-95
    • (1985) Indiana Univ. Math. J. , vol.34 , Issue.1 , pp. 85-95
    • Kusano, T.1    Oharu, S.2
  • 11
    • 0031177373 scopus 로고    scopus 로고
    • Classical and weak solutions of a singular semilnear elliptic problem
    • Lair, A.; Shaker, A.W. (1997): Classical and weak solutions of a singular semilnear elliptic problem. J. Math. Anal. Appl. 211, 371-385
    • (1997) J. Math. Anal. Appl. , vol.211 , pp. 371-385
    • Lair, A.1    Shaker, A.W.2
  • 12
    • 0034141072 scopus 로고    scopus 로고
    • Large solutions of sublinear elliptic equations
    • Lair, A.; Wood (Shaker), A.W. (2000): Large solutions of sublinear elliptic equations. Non-linear Analysis 39, 745-753
    • (2000) Non-linear Analysis , vol.39 , pp. 745-753
    • Lair, A.1    Wood, A.W.2
  • 14
    • 0001991705 scopus 로고
    • On the existence and symmetry properties of finite total mass solutions of the Matukuma equation, the Eddington equation and their generalizations
    • Li, Y.; Ni, W.M. (1989): On the existence and symmetry properties of finite total mass solutions of the Matukuma equation, the Eddington equation and their generalizations. Arch. Rational Mech. Anal. 108(2), 175-194
    • (1989) Arch. Rational Mech. Anal. , vol.108 , Issue.2 , pp. 175-194
    • Li, Y.1    Ni, W.M.2
  • 15
    • 84972582668 scopus 로고
    • A note on bounded positive entire solutions of semilinear elliptic equations
    • Naito, M. (1984): A note on bounded positive entire solutions of semilinear elliptic equations. Hiroshima Math. J. 14, 211-214
    • (1984) Hiroshima Math. J. , vol.14 , pp. 211-214
    • Naito, M.1
  • 16
    • 0000855213 scopus 로고
    • n+2/n-2 = 0, its generalizations and applications in geometry
    • n+2/n-2 = 0, its generalizations and applications in geometry. Indiana Univ. Math. J. 31, 493-529
    • (1982) Indiana Univ. Math. J. , vol.31 , pp. 493-529
    • Ni, W.M.1
  • 17
    • 0002170483 scopus 로고
    • Semilinear elliptic equations of Matukuma-type and related topics
    • Ni, W.M.; Yotsutani, S. (1988): Semilinear elliptic equations of Matukuma-type and related topics. Japan J. Appl. Math. 5, 1-32
    • (1988) Japan J. Appl. Math. , vol.5 , pp. 1-32
    • Ni, W.M.1    Yotsutani, S.2
  • 18
    • 0001314482 scopus 로고
    • Monotone methods in nonlinear elliptic and parabolic boundary value problems
    • Sattinger, D. (1972): Monotone methods in nonlinear elliptic and parabolic boundary value problems. Indiana Univ. Math. J. 21, 979-1000
    • (1972) Indiana Univ. Math. J. , vol.21 , pp. 979-1000
    • Sattinger, D.1
  • 19
    • 0031272637 scopus 로고    scopus 로고
    • A remark on the existence of entire solutions of a singular semilinear elliptic problem
    • Zhang, Z.J. (1997): A remark on the existence of entire solutions of a singular semilinear elliptic problem. J. Math. Anal. Appl. 215, 579-582
    • (1997) J. Math. Anal. Appl. , vol.215 , pp. 579-582
    • Zhang, Z.J.1
  • 20
    • 84973999637 scopus 로고
    • On the existence of positive solutions of nonlinear elliptic equations - A probabilistic potential theory approach
    • Zhao, Z. (1993): On the existence of positive solutions of nonlinear elliptic equations - A probabilistic potential theory approach. Duke Math. J. 69(2), 247-257
    • (1993) Duke Math. J. , vol.69 , Issue.2 , pp. 247-257
    • Zhao, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.