메뉴 건너뛰기




Volumn 48, Issue 2, 2005, Pages 465-477

Existence of two non-trivial solutions for a class of quasilinear elliptic variational systems on strip-like domains

Author keywords

Eigenvalue problem; Elliptic systems; Principle of symmetric criticality; Strip like domain

Indexed keywords


EID: 21244445859     PISSN: 00130915     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0013091504000112     Document Type: Conference Paper
Times cited : (41)

References (20)
  • 1
    • 0040538331 scopus 로고
    • Semilinear elliptic eigenvalue problems on an infinite strip with an application to stratified fluids
    • C. J. AMICK, Semilinear elliptic eigenvalue problems on an infinite strip with an application to stratified fluids, Annli Scuola Norm. Sup. Pisa 11 (1984), 441-499.
    • (1984) Annli Scuola Norm. Sup. Pisa , vol.11 , pp. 441-499
    • Amick, C.J.1
  • 2
    • 0011674114 scopus 로고
    • Nonlinear elliptic eigenvalue problems on an infinite strip-global theory of bifurcation and asymptotic bifurcation
    • C. J. AMICK AND 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
  • 3
    • 4544311865 scopus 로고    scopus 로고
    • Three solutions for a mixed boundary value problem involving the one-dimensional p-Laplacian
    • D. AVERNA AND R. SALVATI, Three solutions for a mixed boundary value problem involving the one-dimensional p-Laplacian, J. Math. Analysis Applic. 298 (2004), 245-260.
    • (2004) J. Math. Analysis Applic. , vol.298 , pp. 245-260
    • Averna, D.1    Salvati, R.2
  • 4
    • 0012185801 scopus 로고    scopus 로고
    • Some remarks on a system of quasilinear elliptic equations
    • L. BOCCARDO AND D. G. DE FIGUEIREDO, Some remarks on a system of quasilinear elliptic equations, Nonlin. Diff. Eqns Applic. 9 (2002), 309-323.
    • (2002) Nonlin. Diff. Eqns Applic. , vol.9 , pp. 309-323
    • Boccardo, L.1    De Figueiredo, D.G.2
  • 5
    • 0037680720 scopus 로고    scopus 로고
    • Some remarks on a three critical points theorem
    • G. BONNANO, Some remarks on a three critical points theorem, Nonlin. Analysis 54 (2003), 651-665.
    • (2003) Nonlin. Analysis , vol.54 , pp. 651-665
    • Bonnano, G.1
  • 7
    • 0036778833 scopus 로고    scopus 로고
    • Existence of non-trivial solutions of elliptic variational systems in unbounded domains
    • P. C. CARRIÃO AND O. H. MIYAGAKI, Existence of non-trivial solutions of elliptic variational systems in unbounded domains, Nonlin. Analysis 51 (2002), 155-169.
    • (2002) Nonlin. Analysis , vol.51 , pp. 155-169
    • Carrião, P.C.1    Miyagaki, O.H.2
  • 9
    • 0041398278 scopus 로고    scopus 로고
    • Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
    • P. L. DE NAPOLI AND M. C. MARIANI, Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems, Abstr. Appl. Analysis 7 (2002) 155-167.
    • (2002) Abstr. Appl. Analysis , vol.7 , pp. 155-167
    • De Napoli, P.L.1    Mariani, M.C.2
  • 10
    • 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, Nonlin. Analysis 7 (1983), 365-379.
    • (1983) Nonlin. Analysis , vol.7 , pp. 365-379
    • Esteban, M.J.1
  • 11
    • 0035882849 scopus 로고    scopus 로고
    • Linking and multiplicity results for the p-Laplacian on unbounded cylinders
    • X. L. FAN AND Y. Z. ZHAO, Linking and multiplicity results for the p-Laplacian on unbounded cylinders, J. Math. Analysis Applic. 260 (2001), 479-489.
    • (2001) J. Math. Analysis Applic. , vol.260 , pp. 479-489
    • Fan, X.L.1    Zhao, Y.Z.2
  • 12
    • 84884796444 scopus 로고
    • Existence and uniqueness of positive solutions for certain quasilinear elliptic systems
    • P. FELMER, R. MANÁSEVICH AND F. DE THÉLIN, Existence and uniqueness of positive solutions for certain quasilinear elliptic systems, Commun. PDEs 17 (1992), 2013-2029.
    • (1992) Commun. PDEs , vol.17 , pp. 2013-2029
    • Felmer, P.1    Manásevich, R.2    De Thélin, F.3
  • 13
    • 18744361975 scopus 로고
    • Some existence and bifurcation results for nonlinear elliptic problems in strip-like domains
    • M. R. GROSSINHO, Some existence and bifurcation results for nonlinear elliptic problems in strip-like domains, Ric. Mat. 36 (1987), 127-138.
    • (1987) Ric. Mat. , vol.36 , pp. 127-138
    • Grossinho, M.R.1
  • 15
    • 0000296501 scopus 로고
    • Symétrie et compacité dans les espaces Sobolev
    • P. L. LIONS, Symétrie et compacité dans les espaces Sobolev, J. Funct. Analysis 49 (1982), 315-334.
    • (1982) J. Funct. Analysis , vol.49 , pp. 315-334
    • Lions, P.L.1
  • 16
    • 0036027649 scopus 로고    scopus 로고
    • On a three critical point theorem for non-differentiable functions and applications to nonlinear boundary value problems
    • S. A. MARANO AND D. MOTREANU, On a three critical point theorem for non-differentiable functions and applications to nonlinear boundary value problems, Nonlin. Analysis 48 (2002), 37-52.
    • (2002) Nonlin. Analysis , vol.48 , pp. 37-52
    • Marano, S.A.1    Motreanu, D.2
  • 17
    • 0002783768 scopus 로고
    • The principle of symmetric criticality
    • R. S. PALAIS, The principle of symmetric criticality, Commun. Math. Phys. 69 (1979), 19-30.
    • (1979) Commun. Math. Phys. , vol.69 , pp. 19-30
    • Palais, R.S.1
  • 18
    • 0034395861 scopus 로고    scopus 로고
    • On a three critical points theorem
    • B. RICCERI, On a three critical points theorem, Arch. Math. 75 (2000), 220-226.
    • (2000) Arch. Math. , vol.75 , pp. 220-226
    • Ricceri, B.1
  • 19
    • 0038697173 scopus 로고    scopus 로고
    • Three solutions for a Neumann problem
    • B. RICCERI, Three solutions for a Neumann problem, Topolog. Meth. Nonlin. Analysis 20 (2002), 275-281.
    • (2002) Topolog. Meth. Nonlin. Analysis , vol.20 , pp. 275-281
    • Ricceri, B.1
  • 20
    • 18744363441 scopus 로고    scopus 로고
    • On the solvability of semilinear Schödinger equations in strip-like domains
    • S. A. TERSIAN, On the solvability of semilinear Schödinger equations in strip-like domains, C. R. Acad. Bulgare Sci. 51 (1998), 17-20.
    • (1998) C. R. Acad. Bulgare Sci. , vol.51 , pp. 17-20
    • Tersian, S.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.