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Volumn 13, Issue 2, 2001, Pages 159-189

Existence of positive solutions for a class of indefinite elliptic problems in ℝN

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EID: 0038102021     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00009927     Document Type: Article
Times cited : (58)

References (29)
  • 1
    • 0030375718 scopus 로고    scopus 로고
    • Solutions of Elliptic Equations with Indefinite Nonlinearities via Morse Theory and Linking
    • S. Alama, M. Del Pino, Solutions of Elliptic Equations with Indefinite Nonlinearities via Morse Theory and Linking, Ann. Inst. H. Poincaré, Anal. Non Linéaire 13 (1996), 95-115.
    • (1996) Ann. Inst. H. Poincaré, Anal. Non Linéaire , vol.13 , pp. 95-115
    • Alama, S.1    Del Pino, M.2
  • 2
    • 0000654274 scopus 로고
    • On Semilinear Elliptic Equations with Indefinite Nonlinearities
    • S. Alama, G. Tarantello, On Semilinear Elliptic Equations with Indefinite Nonlinearities, Calc. Var. 1 (1993), 439-475.
    • (1993) Calc. Var. , vol.1 , pp. 439-475
    • Alama, S.1    Tarantello, G.2
  • 3
    • 0030579036 scopus 로고    scopus 로고
    • Elliptic Problems with Nonlinearities Indefinite in Sign
    • S. Alama, G. Tarantello, Elliptic Problems with Nonlinearities Indefinite in Sign, J. Funct. Anal. 141 (1996), 159-215.
    • (1996) J. Funct. Anal. , vol.141 , pp. 159-215
    • Alama, S.1    Tarantello, G.2
  • 4
    • 34548350707 scopus 로고
    • Dual Variational Methods in Critical Point Theory and Applications
    • A. Ambrosetti, P.H. Rabinowitz, Dual Variational Methods in Critical Point 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
  • 5
    • 0011674114 scopus 로고
    • Nonlinear Elliptic Eigenvalue Problems on an Infinite Strip - Global Theory of Bifurcation and Asymptotic Bifurcation
    • C.J. Amick, J.F. Toland, Nonlinear Elliptic Eigenvalue Problems on an Infinite Strip - Global Theory of Bifurcation and Asymptotic Bifurcation, Math. Ann. 262 (1983), 313-342.
    • (1983) Math. Ann. , vol.262 , pp. 313-342
    • Amick, C.J.1    Toland, J.F.2
  • 7
    • 0000958868 scopus 로고
    • Infinitely Many Nonradial Solutions of an Euclidean Scalar Field Equation
    • T. Bartsch, M. Willem, Infinitely Many Nonradial Solutions of an Euclidean Scalar Field Equation, J. Funct. Anal. 117 (1993), 447-460.
    • (1993) J. Funct. Anal. , vol.117 , pp. 447-460
    • Bartsch, T.1    Willem, M.2
  • 8
    • 34249759058 scopus 로고
    • Variational Methods for Indefinite Superlinear Homogeneous Elliptic Problems
    • H. Berestycki, I. Capuzzo-Dolcetta, L. Nirenberg, Variational Methods for Indefinite Superlinear Homogeneous Elliptic Problems, Nonl. Diff. Eq. Appl. 2 (1995), 553-572.
    • (1995) Nonl. Diff. Eq. Appl. , vol.2 , pp. 553-572
    • Berestycki, H.1    Capuzzo-Dolcetta, I.2    Nirenberg, L.3
  • 10
    • 0020591567 scopus 로고
    • Nonlinear Scalar Field Equations. I. Existence of a Ground State
    • H. Berestycki, P.-L. Lions, Nonlinear Scalar Field Equations. I. Existence of a Ground State, Arch. Rat. Mech. Anal. 82 (1983), 313-345.
    • (1983) Arch. Rat. Mech. Anal. , vol.82 , pp. 313-345
    • Berestycki, H.1    Lions, P.-L.2
  • 11
    • 0020591566 scopus 로고
    • Nonlinear Scalar Field Equations. II. Existence of Infinitely Many Solutions
    • H. Berestycki, P.-L. Lions, Nonlinear Scalar Field Equations. II. Existence of Infinitely Many Solutions, Arch. Rat. Mech. Anal. 82 (1983), 347-375.
    • (1983) Arch. Rat. Mech. Anal. , vol.82 , pp. 347-375
    • Berestycki, H.1    Lions, P.-L.2
  • 12
    • 0001735158 scopus 로고
    • Remarks on the Schrodinger Operator with Singular Complex Potentials
    • H. Brezis, T. Kato, Remarks on the Schrodinger Operator with Singular Complex Potentials, J. Math. Pures Appl. 58 (1979), 137-151.
    • (1979) J. Math. Pures Appl. , vol.58 , pp. 137-151
    • Brezis, H.1    Kato, T.2
  • 13
    • 0000720113 scopus 로고    scopus 로고
    • Positive Solutions of a Semilinear Elliptic Equation on RN with Indefinite Nonlinearity
    • S. Cingolani, J.L. Gomez, Positive Solutions of a Semilinear Elliptic Equation on RN with Indefinite Nonlinearity, Adv. Diff. Eq. 1 (1996), 773-791.
    • (1996) Adv. Diff. Eq. , vol.1 , pp. 773-791
    • Cingolani, S.1    Gomez, J.L.2
  • 14
    • 0001678802 scopus 로고
    • Nontrivial Solutions for Perturbartions of the p-Laplacian on Unbounded Domains
    • D.G. Costa, O.H. Miyagaki, Nontrivial Solutions for Perturbartions 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
  • 15
    • 0000692369 scopus 로고
    • Nonlinear Elliptic Problems in Strip-like Domains: Symmetry of Positive Vortex Rings
    • M.J. Esteban, Nonlinear Elliptic Problems in Strip-like Domains: Symmetry of Positive Vortex Rings, Nonl. Anal. 7 (1983), 365-379.
    • (1983) Nonl. Anal. , vol.7 , pp. 365-379
    • Esteban, M.J.1
  • 16
    • 84971139225 scopus 로고
    • Existence and Nonexistence Results for Semilinear Elliptic Problems in Unbounded Domains
    • Sect. A
    • M.J. Esteban, P.-L. Lions, Existence and Nonexistence Results for Semilinear Elliptic Problems in Unbounded Domains, Proc. Royal Soc. Edinb., Sect. A 93 (1982/83), 1-14.
    • (1982) Proc. Royal Soc. Edinb. , vol.93 , pp. 1-14
    • Esteban, M.J.1    Lions, P.-L.2
  • 17
    • 0000238101 scopus 로고
    • On the Existence of Nontrivial Solutions of a Quasilinear Elliptic Boundary Value Problem for Unbounded Domains. I. Positive Mass Case
    • Y. Jianfu, Z. Xiping, On the Existence of Nontrivial Solutions of a Quasilinear Elliptic Boundary Value Problem for Unbounded Domains. I. Positive Mass Case, Acta Mathematica Scientia 7 (1987), 341-359.
    • (1987) Acta Mathematica Scientia , vol.7 , pp. 341-359
    • Jianfu, Y.1    Xiping, Z.2
  • 18
    • 0000238101 scopus 로고
    • On the Existence of Nontrivial Solutions of a Quasilinear Elliptic Boundary Value Problem for Unbounded Domains. II. Zero Mass Case
    • Y. Jianfu, Z. Xiping, On the Existence of Nontrivial Solutions of a Quasilinear Elliptic Boundary Value Problem for Unbounded Domains. II. Zero Mass Case, Acta Mathematica Scientia 7 (1987), 447-459.
    • (1987) Acta Mathematica Scientia , vol.7 , pp. 447-459
    • Jianfu, Y.1    Xiping, Z.2
  • 19
    • 0003167376 scopus 로고
    • N, Variational Methods (Paris, 1988)
    • Birkhauser, Boston
    • N, Variational Methods (Paris, 1988), 133-159, Progr. Nonlinear Differential Equations Appl. 4, Birkhauser, Boston, 1990.
    • (1990) Progr. Nonlinear Differential Equations Appl. , vol.4 , pp. 133-159
    • Li, Y.Y.1
  • 20
    • 85030707196 scopus 로고
    • The Concentration-Compactness Principle in the Calculus of Variations. the Locally Compact Case, Part I
    • P.-L. Lions, The Concentration-Compactness Principle in the Calculus of Variations. The Locally Compact Case, Part I, Ann. Inst. H. Poincaré, Anal. Non Linéaire 1 (1984), 109-145.
    • (1984) Ann. Inst. H. Poincaré, Anal. Non Linéaire , vol.1 , pp. 109-145
    • Lions, P.-L.1
  • 21
    • 85030719142 scopus 로고
    • The Concentration-Compactness Principle in the Calculus of Variations. the Locally Compact Case, Part II
    • P.-L. Lions, The Concentration-Compactness Principle in the Calculus of Variations. The Locally Compact Case, Part II, Ann. Inst. H. Poincaré, Anal. Non Linéaire 1 (1984), 223-283.
    • (1984) Ann. Inst. H. Poincaré, Anal. Non Linéaire , vol.1 , pp. 223-283
    • Lions, P.-L.1
  • 22
    • 0038155226 scopus 로고
    • Positive Solutions of Semilinear Elliptic Problems in Unbounded Domains
    • E.S. Noussair, C.A. Swanson, Positive Solutions of Semilinear Elliptic Problems in Unbounded Domains, J. Diff. Eq. 57 (1985), 349-372.
    • (1985) J. Diff. Eq. , vol.57 , pp. 349-372
    • Noussair, E.S.1    Swanson, C.A.2
  • 23
    • 0001768121 scopus 로고
    • Quasilinear Elliptic Problems with Critical Exponents
    • E.S. Noussair, C.A. Swanson, Y. Jianfu, Quasilinear Elliptic Problems with Critical Exponents, Nonl. Anal. 20 (1993), 285-301.
    • (1993) Nonl. Anal. , vol.20 , pp. 285-301
    • Noussair, E.S.1    Swanson, C.A.2    Jianfu, Y.3
  • 24
    • 0001901435 scopus 로고
    • Minimax Methods in Critical Point Theory with Applications to Differential Equations
    • AMS, Providence, RI
    • P.H. Rabinowitz, "Minimax Methods in Critical Point Theory with Applications to Differential Equations", CBMS Reg. Conf. Ser. Math. 65, AMS, Providence, RI, 1986.
    • (1986) CBMS Reg. Conf. Ser. Math. , vol.65
    • Rabinowitz, P.H.1
  • 26
    • 0011673489 scopus 로고
    • p on an Unbounded Symmetric Domain
    • p on an Unbounded Symmetric Domain, Math. Ann. 263 (1983), 51-59.
    • (1983) Math. Ann. , vol.263 , pp. 51-59
    • Stuart, C.A.1
  • 27
    • 0006066131 scopus 로고    scopus 로고
    • Infinitely Many Solutions for Indefinite Semilinear Elliptic Equations without Symmetry
    • H. Tehrani, Infinitely Many Solutions for Indefinite Semilinear Elliptic Equations without Symmetry, Comm. Part. Diff. Eq. 21 (1996), 541-557.
    • (1996) Comm. Part. Diff. Eq. , vol.21 , pp. 541-557
    • Tehrani, H.1
  • 28
    • 0007030745 scopus 로고    scopus 로고
    • On Indefinite Superlinear Elliptic Equations
    • H. Tehrani, On Indefinite Superlinear Elliptic Equations, Calc. Var. 4 (1996), 139-153.
    • (1996) Calc. Var. , vol.4 , pp. 139-153
    • Tehrani, H.1
  • 29
    • 0001084633 scopus 로고
    • Nonlinear p-Laplacian Problems on Unbounded Domains
    • L.S. Yu, Nonlinear p-Laplacian Problems on Unbounded Domains, Proc. Amer. Math. Soc. 115 (1992), 1037-1045.
    • (1992) Proc. Amer. Math. Soc. , vol.115 , pp. 1037-1045
    • Yu, L.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.