메뉴 건너뛰기




Volumn 5, Issue 10-12, 2000, Pages 1545-1570

Multiplicity of positive radial solutions of a quasilinear elliptic problem in a ball

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001518593     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (17)

References (22)
  • 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
  • 2
    • 0000049245 scopus 로고
    • Combined effects of concave and convex nonlinearities in some elliptic problems
    • A. Ambrosetti, H. Brezis and G. Cerami, Combined effects of concave and convex nonlinearities in some elliptic problems, J. Functional Anal. 122 (1994), 519-543.
    • (1994) J. Functional Anal. , vol.122 , pp. 519-543
    • Ambrosetti, A.1    Brezis, H.2    Cerami, G.3
  • 3
    • 34548350707 scopus 로고
    • Dual variational methods in critical point theory and applications
    • A. Ambrosetti and P. Rabinowitz, Dual variational methods in critical point theory and applications, J. Functional Anal. 14 (1973), 349-381.
    • (1973) J. Functional Anal. , vol.14 , pp. 349-381
    • Ambrosetti, A.1    Rabinowitz, P.2
  • 5
    • 0001816320 scopus 로고    scopus 로고
    • On the number of solutions of boundary value problems involving the p-Laplacian and similar nonlinear operators
    • H. Dang, K. Schmitt and R. Shivaji, On the number of solutions of boundary value problems involving the p-Laplacian and similar nonlinear operators, Electr. J. Differential Equations 1996 (1996), 1-9.
    • (1996) Electr. J. Differential Equations , vol.1996 , pp. 1-9
    • Dang, H.1    Schmitt, K.2    Shivaji, R.3
  • 6
    • 0001873738 scopus 로고    scopus 로고
    • Upper and lower solutions in the theory of ODE boundary value problems: classical and recent results, Nonlinear Analysis and Boundary Value Problems for Ordinary Differential Equations
    • Springer-Verlag, Wien
    • C. De Coster and P. Habets, Upper and lower solutions in the theory of ODE boundary value problems: classical and recent results, Nonlinear Analysis and Boundary Value Problems for Ordinary Differential Equations, CISM Courses and Lectures, vol. 371, Springer-Verlag, Wien, 1996, pp. 1-78.
    • (1996) CISM Courses and Lectures , vol.371 , pp. 1-78
    • De Coster, C.1    Habets, P.2
  • 7
    • 0002256917 scopus 로고
    • Positive solutions of semilinear elliptic equations
    • Springer-Verlag, Berlin
    • D.G. De Figueiredo, Positive solutions of semilinear elliptic equations, Lecture Notes in Math., vol. 957, Springer-Verlag, Berlin, 1982, pp. 34-87.
    • (1982) Lecture Notes in Math , vol.957 , pp. 34-87
    • De Figueiredo, D.G.1
  • 8
    • 0012543720 scopus 로고
    • On pairs of positive solutions for a class of semilinear elliptic problems
    • D.G. De Figueiredo and P.L. Lions, On pairs of positive solutions for a class of semilinear elliptic problems, Indiana Univ. Math. J. 34 (1985), 591-606.
    • (1985) Indiana Univ. Math. J. , vol.34 , pp. 591-606
    • De Figueiredo, D.G.1    Lions, P.L.2
  • 9
    • 0002017520 scopus 로고
    • A priori estimates and existence results for positive solutions of semilinear elliptic equations
    • D.G. De Figueiredo, P.L. Lions and R. Nussbaum, A priori estimates and existence results for positive solutions of semilinear elliptic equations, J. Math. Pures Appl. 61 (1982), 41-63.
    • (1982) J. Math. Pures Appl. , vol.61 , pp. 41-63
    • De Figueiredo, D.G.1    Lions, P.L.2    Nussbaum, R.3
  • 10
    • 33847490844 scopus 로고
    • Nonlinear PDEs and Free Boundaries. Vol.1 Elliptic Equations
    • Pitman Boston
    • J.I. Diaz, Nonlinear PDEs and Free Boundaries. Vol.1 Elliptic Equations, Research Notes in Math., vol. 106, Pitman, Boston, 1985.
    • (1985) Research Notes in Math , vol.106
    • Diaz, J.I.1
  • 11
    • 0001955268 scopus 로고
    • Existence and multiplicity results for periodic solutions of semilinear Duffing equations
    • T. Ding, R. Iannacci and F. Zanolin, Existence and multiplicity results for periodic solutions of semilinear Duffing equations, J. Differential Equations 105 (1993), 364- 409.
    • (1993) J. Differential Equations , vol.105 , pp. 364-409
    • Ding, T.1    Iannacci, R.2    Zanolin, F.3
  • 12
    • 0002582909 scopus 로고
    • On the solvability of a semilinear two- point BVP around the first eigenvalue
    • M.L.C. Fernandes, P. Omari and F. Zanolin, On the solvability of a semilinear two- point BVP around the first eigenvalue, Diff. Integral Equations 2 (1989), 63-79.
    • (1989) Diff. Integral Equations , vol.2 , pp. 63-79
    • Fernandes, M.L.C.1    Omari, P.2    Zanolin, F.3
  • 15
    • 0000726502 scopus 로고    scopus 로고
    • Infinitely many solutions for a Dirichlet problem with a non homogeneous p-Laplacian like operator in a ball
    • M. García-Huidobro, R. Manásevich and F. Zanolin, Infinitely many solutions for a Dirichlet problem with a non homogeneous p-Laplacian like operator in a ball, Advances in Differential Equations 2 (1997), 203-230.
    • (1997) Advances in Differential Equations , vol.2 , pp. 203-230
    • García-Huidobro, M.1    Manásevich, R.2    Zanolin, F.3
  • 16
    • 0001751654 scopus 로고
    • On the existence of positive solutions of semilinear elliptic equations
    • P.L. Lions, On the existence of positive solutions of semilinear elliptic equations, SIAM Review 24 (1982), 441-467.
    • (1982) SIAM Review , vol.24 , pp. 441-467
    • Lions, P.L.1
  • 18
    • 38249004025 scopus 로고
    • Time-mappings and multiplicity of solutions for the one-dimensional p-Laplacian
    • R. Manásevich and F. Zanolin, Time-mappings and multiplicity of solutions for the one-dimensional p-Laplacian, Nonlinear Analysis T.M.A. 21 (1993), 269-291.
    • (1993) Nonlinear Analysis T. M. A. , vol.21 , pp. 269-291
    • Manásevich, R.1    Zanolin, F.2
  • 19
    • 33750617383 scopus 로고
    • Some remarks on the solvability of the nonlinear two-point boundary value problems
    • F.I. Njoku, Some remarks on the solvability of the nonlinear two-point boundary value problems, J. Nigerian Math. Soc. 10 (1991), 83-98.
    • (1991) J. Nigerian Math. Soc. , vol.10 , pp. 83-98
    • Njoku, F.I.1
  • 20
    • 3042890073 scopus 로고    scopus 로고
    • A note on the existence of infinitely many radially symmetric solutions of a quasilinear elliptic problem
    • F.I. Njoku, A note on the existence of infinitely many radially symmetric solutions of a quasilinear elliptic problem, Dynam. Contin. Discrete Impuls. Systems 4 (1998), 227-239.
    • (1998) Dynam. Contin. Discrete Impuls. Systems , vol.4 , pp. 227-239
    • Njoku, F.I.1
  • 21
    • 0001662129 scopus 로고    scopus 로고
    • Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential
    • P. Omari and F. Zanolin, Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential, Comm. Partial Differential Equations 21 (1996), 721- 733.
    • (1996) Comm. Partial Differential Equations , vol.21 , pp. 721-733
    • Omari, P.1    Zanolin, F.2
  • 22
    • 0000709484 scopus 로고
    • Pairs of positive solutions of nonlinear elliptic partial differential equations
    • P. Rabinowitz, Pairs of positive solutions of nonlinear elliptic partial differential equations, Indiana Univ. Math. J. 23 (1973), 173-185.
    • (1973) Indiana Univ. Math. J. , vol.23 , pp. 173-185
    • Rabinowitz, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.