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Volumn 156, Issue 3, 2004, Pages 743-754

Existence of positive bounded entire solutions for quasilinear elliptic equations

Author keywords

Existence of bounded entire solution; Fixed point theorem; Quasilinear elliptic equation

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; ITERATIVE METHODS; NON NEWTONIAN LIQUIDS; NONLINEAR CONTROL SYSTEMS; THEOREM PROVING;

EID: 4344676897     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.06.024     Document Type: Article
Times cited : (25)

References (30)
  • 1
    • 0002604543 scopus 로고
    • Bounded entire solutions of second order semilinear elliptic equations with application to a parabolic initial value problem
    • Kusano T., Oharu S. Bounded entire solutions of second order semilinear elliptic equations with application to a parabolic initial value problem. Indiana Univ. Math. J. 34(1):1985;85-95.
    • (1985) Indiana Univ. Math. J. , vol.34 , Issue.1 , pp. 85-95
    • Kusano, T.1    Oharu, S.2
  • 4
    • 84972584801 scopus 로고
    • On bounded entire solutions of semilinear elliptic equations
    • Kawano N. On bounded entire solutions of semilinear elliptic equations. Hiroshima Math. J. 13:1983;125-158.
    • (1983) Hiroshima Math. J. , vol.13 , pp. 125-158
    • Kawano, N.1
  • 5
    • 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. 31:1982;493-529.
    • (1982) Indiana Univ. Math. J. , vol.31 , pp. 493-529
    • Ni, W.-M.1
  • 6
    • 0000353514 scopus 로고
    • 2u=0 and conformal metrics with prescribed Gaussian curvatures
    • 2u=0 and conformal metrics with prescribed Gaussian curvatures Invent. Math. 66:1982;343-352.
    • (1982) Invent. Math. , vol.66 , pp. 343-352
    • Ni, W.-M.1
  • 7
    • 84976015339 scopus 로고
    • Entire solutions of the differential equation Δu=f(u)
    • Walter W. Entire solutions of the differential equation. Δu=f(u) J. Austral. Math. Soc. Ser. A. 30:1981;366-368.
    • (1981) J. Austral. Math. Soc. Ser. A , vol.30 , pp. 366-368
    • Walter, W.1
  • 8
    • 0346179320 scopus 로고
    • Positive solutions of a nonlinear boundary-value problem of parabolic type
    • Pao C.V. Positive solutions of a nonlinear boundary-value problem of parabolic type. J. Different. Equat. 22:1976;145-163.
    • (1976) J. Different. Equat. , vol.22 , pp. 145-163
    • Pao, C.V.1
  • 9
    • 0034893269 scopus 로고    scopus 로고
    • Blow-up estimates for a non-Newtonian filtration system
    • Yang Z., Lu Q. Blow-up estimates for a non-Newtonian filtration system. Appl. Math. Mech. 22(3):2001;287-294.
    • (2001) Appl. Math. Mech. , vol.22 , Issue.3 , pp. 287-294
    • Yang, Z.1    Lu, Q.2
  • 10
    • 0035299129 scopus 로고    scopus 로고
    • Existence and multiplicity of positive entire solutions for a class of quasilinear elliptic equation
    • Yang Z., Lu Q. Existence and multiplicity of positive entire solutions for a class of quasilinear elliptic equation. J. Beijing Univ. Aeronaut. Astronaut. 27(2):2001;217-220.
    • (2001) J. Beijing Univ. Aeronaut. Astronaut. , vol.27 , Issue.2 , pp. 217-220
    • Yang, Z.1    Lu, Q.2
  • 11
    • 0346122644 scopus 로고    scopus 로고
    • Non-existence of positive radial solutions for a class of quasilinear elliptic system
    • Yang Z., Lu Q. Non-existence of positive radial solutions for a class of quasilinear elliptic system. Commun. Nolinear Sci. Numer. Simul. 5(4):2000;184-187.
    • (2000) Commun. Nolinear Sci. Numer. Simul. , vol.5 , Issue.4 , pp. 184-187
    • Yang, Z.1    Lu, Q.2
  • 12
    • 0003053678 scopus 로고
    • On the structure of positive solutions for quasilinear ordinary differential equations
    • Yang Z., Guo Z. On the structure of positive solutions for quasilinear ordinary differential equations. Appl. Anal. 58:1995;31-51.
    • (1995) Appl. Anal. , vol.58 , pp. 31-51
    • Yang, Z.1    Guo, Z.2
  • 13
    • 84978975224 scopus 로고    scopus 로고
    • Non-existence of positive entire solutions for elliptic inequalities of p-Laplacian
    • Yang Z. Non-existence of positive entire solutions for elliptic inequalities of. p-Laplacian Appl. Math. - JCU. 12B:1997;399-410.
    • (1997) Appl. Math. - JCU , vol.12 B , pp. 399-410
    • Yang, Z.1
  • 14
    • 4344691181 scopus 로고    scopus 로고
    • Existence of positive radial solutions for quasilinear elliptic boundary value problems
    • Yang Z., Yang H. Existence of positive radial solutions for quasilinear elliptic boundary value problems. Ann. Different. Equat. 15(4):1999;438-452.
    • (1999) Ann. Different. Equat. , vol.15 , Issue.4 , pp. 438-452
    • Yang, Z.1    Yang, H.2
  • 15
    • 0004026258 scopus 로고    scopus 로고
    • Existence of positive radial solutions and entire solutions for quasilinear singular boundary value problems
    • Yang Z., Guo Z. Existence of positive radial solutions and entire solutions for quasilinear singular boundary value problems. Ann. Different. Equat. 12(2):1996;243-251.
    • (1996) Ann. Different. Equat. , vol.12 , Issue.2 , pp. 243-251
    • Yang, Z.1    Guo, Z.2
  • 16
    • 0003968998 scopus 로고
    • Positive solutions of a class second order semilinear elliptic equations in the pland
    • Kusano T., Usami H. Positive solutions of a class second order semilinear elliptic equations in the pland. Math. Ann. 268:1984;255-264.
    • (1984) Math. Ann. , vol.268 , pp. 255-264
    • Kusano, T.1    Usami, H.2
  • 17
    • 0034656488 scopus 로고    scopus 로고
    • Existence and nonexistence of solutions for quasilinear elliptic equations
    • Marcelo M., Marcos M. Existence and nonexistence of solutions for quasilinear elliptic equations. J. Math. Anal. Appl. 245:2000;303-316.
    • (2000) J. Math. Anal. Appl. , vol.245 , pp. 303-316
    • Marcelo, M.1    Marcos, M.2
  • 18
    • 0000405695 scopus 로고
    • Boundary regularity for solutions of degenerate elliptic equations
    • Lieberman G.M. Boundary regularity for solutions of degenerate elliptic equations. Nonlinear Anal. 12(11):1988;1203-1219.
    • (1988) Nonlinear Anal. , vol.12 , Issue.11 , pp. 1203-1219
    • Lieberman, G.M.1
  • 19
    • 4243767988 scopus 로고
    • A priori estimates and multiplicity results for equations of the form -Δu=f(x,u,∇u)
    • Xavier J.B.M. A priori estimates and multiplicity results for equations of the form. -Δu=f(x,u,∇u) Dynam. Syst. Appl. 3:1994;489-500.
    • (1994) Dynam. Syst. Appl. , vol.3 , pp. 489-500
    • Xavier, J.B.M.1
  • 21
    • 84947517119 scopus 로고
    • On the Dirichlet problem for quasilinear equations in domains with conical boundary points
    • Tolksdorf P. On the Dirichlet problem for quasilinear equations in domains with conical boundary points. Commun. Partial Different. Equat. 8(7):1983;773-817.
    • (1983) Commun. Partial Different. Equat. , vol.8 , Issue.7 , pp. 773-817
    • Tolksdorf, P.1
  • 22
    • 0001613410 scopus 로고
    • Local and global properties of solutions of quasilinear elliptic equations
    • Guedda M., Veron L. Local and global properties of solutions of quasilinear elliptic equations. J. Different. Equat. 76(1):1988;159-189.
    • (1988) J. Different. Equat. , vol.76 , Issue.1 , pp. 159-189
    • Guedda, M.1    Veron, L.2
  • 23
    • 84930207317 scopus 로고
    • Existence and uniqueness of the positive radial solutions for a class of quasilinear elliptic equations
    • Guo Z.M. Existence and uniqueness of the positive radial solutions for a class of quasilinear elliptic equations. Appl. Anal. 47(1):1992;173-190.
    • (1992) Appl. Anal. , vol.47 , Issue.1 , pp. 173-190
    • Guo, Z.M.1
  • 24
    • 0001757707 scopus 로고
    • Some existence and multiplicity results for a class of quasilinear elliptic equations
    • Guo Z.M. Some existence and multiplicity results for a class of quasilinear elliptic equations. Nonlinear Anal. 18(10):1992;957-971.
    • (1992) Nonlinear Anal. , vol.18 , Issue.10 , pp. 957-971
    • Guo, Z.M.1
  • 25
    • 84972477465 scopus 로고
    • Uniqueness of positive solutions for quasilinear elliptic equations when a parameter is large
    • Guo Z.M., Webb J.R.L. Uniqueness of positive solutions for quasilinear elliptic equations when a parameter is large. Proc. R. Soc. Edinburgh. 124A(1):1994;189-198.
    • (1994) Proc. R. Soc. Edinburgh , vol.124 A , Issue.1 , pp. 189-198
    • Guo, Z.M.1    Webb, J.R.L.2
  • 26
    • 84966227747 scopus 로고
    • Flat core properties associated to the p-Laplace operator
    • Kamin S., Veron L. Flat core properties associated to the. p-Laplace operator Proc. Am. Math. Soc. 118(4):1993;1079-1085.
    • (1993) Proc. Am. Math. Soc. , vol.118 , Issue.4 , pp. 1079-1085
    • Kamin, S.1    Veron, L.2
  • 27
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces
    • Amann H. Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. SIAM Rev. 18:1976;620-709.
    • (1976) SIAM Rev. , vol.18 , pp. 620-709
    • Amann, H.1
  • 29
    • 0011913985 scopus 로고
    • Unsteady shear flows of a conducting fluid with a rheological power law
    • Martinson L.K., Pavlov K.B. Unsteady shear flows of a conducting fluid with a rheological power law. Magnit. Gidrodinamika. 2:1971;50-58.
    • (1971) Magnit. Gidrodinamika , vol.2 , pp. 50-58
    • Martinson, L.K.1    Pavlov, K.B.2
  • 30
    • 0022806862 scopus 로고
    • On the equation of turbulent filtration in one-dimensional porous media
    • Esteban J.R., Vazquez J.L. On the equation of turbulent filtration in one-dimensional porous media. Nonlinear Anal. 10:1982;1303-1325.
    • (1982) Nonlinear Anal. , vol.10 , pp. 1303-1325
    • Esteban, J.R.1    Vazquez, J.L.2


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