메뉴 건너뛰기




Volumn 66, Issue , 2006, Pages 221-231

Existence and number of solutions for a class of semilinear Schrödinger equations

Author keywords

Critical point theory; Empty interior; Ground state solution; Nonempty interior; Nontrivial solution

Indexed keywords


EID: 77955436115     PISSN: 14211750     EISSN: 23740280     Source Type: Book Series    
DOI: 10.1007/3-7643-7401-2_15     Document Type: Chapter
Times cited : (22)

References (14)
  • 1
    • 0009179578 scopus 로고
    • Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
    • P. Bartolo, V. Benci and D. Fortunato, Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity, Nonlin. Anal. 7 (1983), 981–1012.
    • (1983) Nonlin. Anal. , vol.7 , pp. 981-1012
    • Bartolo, P.1    Benci, V.2    Fortunato, D.3
  • 2
    • 0346289757 scopus 로고    scopus 로고
    • Nonlinear Schrödinger equations with steep potential well
    • T. Bartsch, A. Pankov and Z.Q. Wang, Nonlinear Schrödinger equations with steep potential well, Comm. Contemp. Math. 3 (2001), 549–569.
    • (2001) Comm. Contemp. Math. , vol.3 , pp. 549-569
    • Bartsch, T.1    Pankov, A.2    Wang, Z.Q.3
  • 3
    • 0001232950 scopus 로고
    • On critical point theory of indefinite functionals in the presence of symmetries
    • V. Benci, On critical point theory of indefinite functionals in the presence of symmetries, Trans. Amer. Math. Soc. 274 (1982), 533–572.
    • (1982) Trans. Amer. Math. Soc. , vol.274 , pp. 533-572
    • Benci, V.1
  • 4
    • 84941275804 scopus 로고
    • A relation between pointwise convergence of functions and convergence of functionals
    • H. Brézis, E. Lieb, A relation between pointwise convergence of functions and convergence of functionals, Proc. Amer. Math. Soc. 88 (1983), 486–490.
    • (1983) Proc. Amer. Math. Soc. , vol.88 , pp. 486-490
    • Brézis, H.1    Lieb, E.2
  • 5
    • 0142230503 scopus 로고    scopus 로고
    • Standing waves with a critical frequency for nonlinear Schrödinger equations, II
    • J. Byeon, Z.Q. Wang, Standing waves with a critical frequency for nonlinear Schrödinger equations, II, Calc. Var. PDE 18 (2003), 207–219.
    • (2003) Calc. Var. PDE , vol.18 , pp. 207-219
    • Byeon, J.1    Wang, Z.Q.2
  • 6
    • 17744396957 scopus 로고    scopus 로고
    • Infinitely many bound states for some nonlinear scalar field equations
    • G. Cerami, G. Devillanova and S. Solimini, Infinitely many bound states for some nonlinear scalar field equations, Calc. Var. PDE 23 (2005), 139–168.
    • (2005) Calc. Var. PDE , vol.23 , pp. 139-168
    • Cerami, G.1    Devillanova, G.2    Solimini, S.3
  • 8
    • 34247611775 scopus 로고    scopus 로고
    • On the Schrödinger equation involving a critical Sobolev exponent and magnetic field
    • J. Chabrowski and A. Szulkin, On the Schrödinger equation involving a critical Sobolev exponent and magnetic field, Top. Meth. Nonl. Anal. 25 (2005), 3–21.
    • (2005) Top. Meth. Nonl. Anal. , vol.25 , pp. 3-21
    • Chabrowski, J.1    Szulkin, A.2
  • 9
    • 0037104662 scopus 로고    scopus 로고
    • Nontrivial solution for a semilinear elliptic equation in unbounded domain with critical Sobolev exponent
    • S.W. Chen and Y.Q. Li, Nontrivial solution for a semilinear elliptic equation in unbounded domain with critical Sobolev exponent, J. Math. Anal. Appl. 272 (2002), 393–406.
    • (2002) J. Math. Anal. Appl. , vol.272 , pp. 393-406
    • Chen, S.W.1    Li, Y.Q.2
  • 10
    • 0036026058 scopus 로고    scopus 로고
    • Semi-classical states of nonlinear Schrödinger equations: A variational reduction method
    • M. del Pino and P. Felmer, Semi-classical states of nonlinear Schrödinger equations: a variational reduction method, Math. Ann. 324 (2002), 1–32.
    • (2002) Math. Ann , vol.324 , pp. 1-32
    • Del Pino, M.1    Felmer, P.2
  • 11
    • 7244258733 scopus 로고    scopus 로고
    • Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities
    • L. Jeanjean and K. Tanaka, Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities, Calc. Var. PDE 21 (2004), 287–318.
    • (2004) Calc. Var. PDE , vol.21 , pp. 287-318
    • Jeanjean, L.1    Tanaka, K.2
  • 12
    • 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. IHP, Analyse Non Linéaire 1 (1984), 109– 145.
    • (1984) Ann. IHP, Analyse Non Linéaire , vol.1 , pp. 109-145
    • Lions, P.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.