메뉴 건너뛰기




Volumn 71, Issue 7-8, 2009, Pages 3018-3030

Existence of a non-trivial solution for the p-Laplacian equation with Fučík type resonance at infinity. II

Author keywords

Fu k spectrum of the p Laplacian; Mountain pass theorem

Indexed keywords

EIGEN-VALUE; MOUNTAIN PASS THEOREM; NON-LINEARITY; NON-TRIVIAL; NONTRIVIAL SOLUTION; P-LAPLACIAN EQUATION; VARIATIONAL METHODS; WEAK SOLUTION;

EID: 67349279105     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.01.186     Document Type: Article
Times cited : (8)

References (17)
  • 1
    • 0002889720 scopus 로고
    • Boundary value problems with jumping nonlinearities
    • Fučík S. Boundary value problems with jumping nonlinearities. Casopis Pest. Mat. 101 (1976) 69-87
    • (1976) Casopis Pest. Mat. , vol.101 , pp. 69-87
    • Fučík, S.1
  • 2
    • 0000559523 scopus 로고
    • On the Dirichlet problem for weak nonlinear elliptic partial differential equations
    • Dancer E. On the Dirichlet problem for weak nonlinear elliptic partial differential equations. Proc. R. Soc.Edinburgh 76A (1977) 283-300
    • (1977) Proc. R. Soc.Edinburgh , vol.76 A , pp. 283-300
    • Dancer, E.1
  • 4
    • 0035255552 scopus 로고    scopus 로고
    • Some remarks on the Fučík spectrum of the p-Laplacian and critical groups
    • Dancer N., and Perera K. Some remarks on the Fučík spectrum of the p-Laplacian and critical groups. J. Math. Anal. Appl. 254 (2001) 164-177
    • (2001) J. Math. Anal. Appl. , vol.254 , pp. 164-177
    • Dancer, N.1    Perera, K.2
  • 6
    • 9244237037 scopus 로고    scopus 로고
    • Critical groups and multiple solutions of the p-Laplacian equations
    • Jiang M.Y. Critical groups and multiple solutions of the p-Laplacian equations. Nonlinear Anal. TMA 59 (2004) 1221-1241
    • (2004) Nonlinear Anal. TMA , vol.59 , pp. 1221-1241
    • Jiang, M.Y.1
  • 7
    • 29144465574 scopus 로고    scopus 로고
    • Solutions of p-sublinear p-Laplacian equation via Morse theory
    • Guo Y., and Liu J. Solutions of p-sublinear p-Laplacian equation via Morse theory. J. Lond. Math. Soc. 72 (2005) 632-644
    • (2005) J. Lond. Math. Soc. , vol.72 , pp. 632-644
    • Guo, Y.1    Liu, J.2
  • 8
    • 0037673374 scopus 로고    scopus 로고
    • Existence and multiplicity results for Dirichlet problems with p-Laplacian
    • Jiu Q., and Su J. Existence and multiplicity results for Dirichlet problems with p-Laplacian. J. Math. Anal. Appl. 281 (2003) 587-601
    • (2003) J. Math. Anal. Appl. , vol.281 , pp. 587-601
    • Jiu, Q.1    Su, J.2
  • 9
    • 0013269417 scopus 로고    scopus 로고
    • Remarks on multiple solutions for quasi-linear resonant problems
    • Liu J., and Su J. Remarks on multiple solutions for quasi-linear resonant problems. J. Math. Anal. Appl. 258 (2001) 209-222
    • (2001) J. Math. Anal. Appl. , vol.258 , pp. 209-222
    • Liu, J.1    Su, J.2
  • 10
    • 59049084792 scopus 로고    scopus 로고
    • Existence of a non-trivial solution for the p-Laplacian equation with Fučík type resonance at infinity
    • Tanaka M. Existence of a non-trivial solution for the p-Laplacian equation with Fučík type resonance at infinity. Nonlinear Anal. TMA 70 (2009) 2165-2175
    • (2009) Nonlinear Anal. TMA , vol.70 , pp. 2165-2175
    • Tanaka, M.1
  • 11
    • 1442352763 scopus 로고    scopus 로고
    • Existence of solutions for asymptotically linear p-Laplacian equations
    • Liu S., and Li S. Existence of solutions for asymptotically linear p-Laplacian equations. Bull. Lond. Math. Soc. 36 (2004) 81-87
    • (2004) Bull. Lond. Math. Soc. , vol.36 , pp. 81-87
    • Liu, S.1    Li, S.2
  • 12
    • 33644627554 scopus 로고    scopus 로고
    • The existence of multiple solutions to quasilinear elliptic equations
    • Liu S., and Li S. The existence of multiple solutions to quasilinear elliptic equations. Bull. Lond. Math. Soc. 37 (2005) 592-600
    • (2005) Bull. Lond. Math. Soc. , vol.37 , pp. 592-600
    • Liu, S.1    Li, S.2
  • 13
    • 0002823383 scopus 로고    scopus 로고
    • Nonlinear boundary value problems with concave and convex nonlinearities near the origin
    • Wang Z.Q. Nonlinear boundary value problems with concave and convex nonlinearities near the origin. Nonlinear Differential Equations Appl. 8 (2001) 15-33
    • (2001) Nonlinear Differential Equations Appl. , vol.8 , pp. 15-33
    • Wang, Z.Q.1
  • 14
    • 0001494045 scopus 로고    scopus 로고
    • Resonance problems for the p-Laplacian
    • Drábek P., and Robinson S.B. Resonance problems for the p-Laplacian. J. Funct. Anal. 169 (1999) 189-200
    • (1999) J. Funct. Anal. , vol.169 , pp. 189-200
    • Drábek, P.1    Robinson, S.B.2
  • 17
    • 0009179578 scopus 로고
    • Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity
    • Bartolo P., Benci V., and Fortunato D. Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity. Nonlinear Anal. TMA 7 (1983) 981-1012
    • (1983) Nonlinear Anal. TMA , vol.7 , pp. 981-1012
    • Bartolo, P.1    Benci, V.2    Fortunato, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.