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Volumn 43, Issue 8, 2001, Pages 1043-1055

Asymptotically linear Dirichlet problem for the p-Laplacian

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; THEOREM PROVING;

EID: 0034826287     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00243-6     Document Type: Article
Times cited : (54)

References (27)
  • 1
    • 34548350707 scopus 로고
    • Dual variational methods in critical points theory and applications
    • A. Ambrosetti, P.H. Rabinowitz, Dual variational methods in critical points theory and applications, J. Funct. Anal. 14 (1973) 349-381.
    • (1973) J. Funct. Anal. , vol.14 , pp. 349-381
    • Ambrosetti, A.1    Rabinowitz, P.H.2
  • 2
    • 0000623205 scopus 로고
    • Simplicité et isolation de la première valeur propre du p-Laplacian avec poids
    • A. Anane, Simplicité et isolation de la première valeur propre du p-Laplacian avec poids, C. R. Hebd. Séanc. Acad. Sci. Paris 305 (1987) 725-728.
    • (1987) C. R. Hebd. Séanc. Acad. Sci. Paris , vol.305 , pp. 725-728
    • Anane, A.1
  • 4
    • 0001276960 scopus 로고
    • Strongly nonlinear elliptic problems near resonance
    • A. Anane, J.-P. Gossez, Strongly nonlinear elliptic problems near resonance, Comm. PDE 15 (1990) 1141-1159.
    • (1990) Comm. PDE , vol.15 , pp. 1141-1159
    • Anane, A.1    Gossez, J.-P.2
  • 5
    • 0040835382 scopus 로고
    • Comportement asymptotique des valeurs propres du p-Laplacien
    • Sér. I
    • J.G. Azorero, I.P. Alonso, Comportement asymptotique des valeurs propres du p-Laplacien, C.R. Acad. Sci. Paris, Sér. I 307 (1988) 75-78.
    • (1988) C.R. Acad. Sci. Paris , vol.307 , pp. 75-78
    • Azorero, J.G.1    Alonso, I.P.2
  • 6
    • 0009179578 scopus 로고
    • Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity
    • P. Bartolo, V. Benci, D. Fortunato, Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity, Nonlinear Anal. TMA 7 (9) (1983) 981-1012.
    • (1983) Nonlinear Anal. TMA , vol.7 , Issue.9 , pp. 981-1012
    • Bartolo, P.1    Benci, V.2    Fortunato, D.3
  • 7
    • 0008607107 scopus 로고
    • Landesman-Lazer conditions for strongly nonlinear boundary value problems
    • L. Boccardo, P. Drábek, M. Kučera, Landesman-Lazer conditions for strongly nonlinear boundary value problems, Comment. Math. Univ. Carolina 30 (1989) 411-427.
    • (1989) Comment. Math. Univ. Carolina , vol.30 , pp. 411-427
    • Boccardo, L.1    Drábek, P.2    Kučera, M.3
  • 8
    • 0000224442 scopus 로고
    • Existence results for perturbations of the p-Laplacian
    • D.G. Costa, C.A. Magalhães, Existence results for perturbations of the p-Laplacian, Nonlinear Anal. TMA 24 (1995) 409-418.
    • (1995) Nonlinear Anal. TMA , vol.24 , pp. 409-418
    • Costa, D.G.1    Magalhães, C.A.2
  • 9
    • 0001678802 scopus 로고
    • Nontrivial solutions for perturbations of the p-Laplacian on unbounded domains
    • D.G. Costa, O.H. Miyagaki, Nontrivial solutions for perturbations of the p-Laplacian on unbounded domains, J. Math. Anal. Appl. 193 (1995) 737-755.
    • (1995) J. Math. Anal. Appl. , vol.193 , pp. 737-755
    • Costa, D.G.1    Miyagaki, O.H.2
  • 10
    • 0000139421 scopus 로고
    • Existence, nonexistence et principe de l'antimaximum pour le p-laplacien
    • Sér. I
    • J. Fleckinger, J.-P. Gossez, P. Takač, F. De Thélin, Existence, nonexistence et principe de l'antimaximum pour le p-laplacien, C.R. Acad. Sci. Paris, Sér. I 321 (1995) 731-734.
    • (1995) C.R. Acad. Sci. Paris , vol.321 , pp. 731-734
    • Fleckinger, J.1    Gossez, J.-P.2    Takač, P.3    De Thélin, F.4
  • 11
    • 0011448492 scopus 로고
    • Asympototic behaviour of the eigenvalues of the p-Laplacian
    • L. Friedlander, Asympototic behaviour of the eigenvalues of the p-Laplacian, Comm. PDE 14 (1989) 1059-1069.
    • (1989) Comm. PDE , vol.14 , pp. 1059-1069
    • Friedlander, L.1
  • 13
    • 0342329060 scopus 로고    scopus 로고
    • On the existence of bounded Palais-Smale sequences and application to a Landesmann-Lazer type problem
    • Section A, in press
    • L. Jeanjean, On the existence of bounded Palais-Smale sequences and application to a Landesmann-Lazer type problem, Proc. Roy. Soc. Edinburgh, Section A, in press.
    • Proc. Roy. Soc. Edinburgh
    • Jeanjean, L.1
  • 15
    • 0343198439 scopus 로고
    • 0(Ω) involving limiting nonlinearities
    • 0(Ω) involving limiting nonlinearities, Acta Math. Sci. 7 (1987) 329-339.
    • (1987) Acta Math. Sci. , vol.7 , pp. 329-339
    • Li, G.B.1
  • 16
    • 21844513524 scopus 로고
    • Stability in obstacle problems
    • G.B. Li, O. Martio, Stability in obstacle problems, Math. Scand. 75 (1994) 87-100.
    • (1994) Math. Scand. , vol.75 , pp. 87-100
    • Li, G.B.1    Martio, O.2
  • 17
    • 0001901435 scopus 로고
    • Minimax methods in critical point theory with applications to differential equations
    • Amer. Math. Soc., Providence, RI
    • P.H. Rabinowitz, Minimax methods in critical point theory with applications to differential equations, CBMS Reg. Conference Ser. in Math. No., vol. 65, Amer. Math. Soc., Providence, RI, 1986.
    • (1986) CBMS Reg. Conference Ser. in Math. No. , vol.65
    • Rabinowitz, P.H.1
  • 18
    • 51249162209 scopus 로고
    • Superlinear elliptic boundary value problems
    • M. Schechter, Superlinear elliptic boundary value problems, Manuscripta Math. 86 (1995) 253-265.
    • (1995) Manuscripta Math. , vol.86 , pp. 253-265
    • Schechter, M.1
  • 19
    • 0342763823 scopus 로고
    • 0(Ω)
    • Ser. A
    • 0(Ω), Sci. Sinica, Ser. A 27(7) (1984) 720-730.
    • (1984) Sci. Sinica , vol.27 , Issue.7 , pp. 720-730
    • Shen, Y.T.1
  • 21
    • 0030291320 scopus 로고    scopus 로고
    • A variational problem related to self-trapping of an electromagnetic field
    • C.A. Stuart, H.S. Zhou, A variational problem related to self-trapping of an electromagnetic field, Math. Methods Appl. Sci. 19 (1996) 1397-1407.
    • (1996) Math. Methods Appl. Sci. , vol.19 , pp. 1397-1407
    • Stuart, C.A.1    Zhou, H.S.2
  • 23
    • 33846445540 scopus 로고
    • Regularity for a more general class of quasilinear elliptic equations
    • P. Tolksdorf, Regularity for a more general class of quasilinear elliptic equations, J. Differential Equations 51 (1984) 126-150.
    • (1984) J. Differential Equations , vol.51 , pp. 126-150
    • Tolksdorf, P.1
  • 24
    • 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
  • 25
    • 0000238101 scopus 로고
    • On the existence of nontrivial solution of a quasilinear elliptic boundary value problem for unbounded domains
    • J.F. Yang, X.P. Zhu, On the existence of nontrivial solution of a quasilinear elliptic boundary value problem for unbounded domains, Acta Math. Sci. 7 (1987) 341-359.
    • (1987) Acta Math. Sci. , vol.7 , pp. 341-359
    • Yang, J.F.1    Zhu, X.P.2
  • 26
    • 0032281604 scopus 로고    scopus 로고
    • Positive solution for a semilinear elliptic equation which is almost linear at infinity
    • H.S. Zhou, Positive solution for a semilinear elliptic equation which is almost linear at infinity, Z. Angew. Math. Phys. (ZAMP) 49 (1998) 896-906.
    • (1998) Z. Angew. Math. Phys. (ZAMP) , vol.49 , pp. 896-906
    • Zhou, H.S.1
  • 27
    • 0343634130 scopus 로고
    • Nontrivial solution of quasilinear elliptic equations involving critical Sobolev exponent
    • Ser. A
    • X.P. Zhu, Nontrivial solution of quasilinear elliptic equations involving critical Sobolev exponent, Sci. Sinica, Ser. A 34 (1991) 257-266.
    • (1991) Sci. Sinica , vol.34 , pp. 257-266
    • Zhu, X.P.1


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