메뉴 건너뛰기




Volumn 6, Issue 1, 2000, Pages 39-50

On the existence of multipeak solutions for nonlinear field equations on RN

Author keywords

Elliptic problem; Multipeak solution

Indexed keywords


EID: 0034420825     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (45)

References (19)
  • 1
    • 0003246964 scopus 로고
    • Critical points at infinity in some variational problems
    • Longman-Pitman
    • A. Bahri, Critical points at infinity in some variational problems, Research Notes in Mathematics 182, Longman-Pitman, 1989.
    • (1989) Research Notes in Mathematics , vol.182
    • Bahri, A.1
  • 2
    • 0001067029 scopus 로고    scopus 로고
    • On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems
    • D. Cao, E.N. Dancer, E. Noussair and S. Yan, On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems, Discrete and Continuous Dynamical Systems, 2(1996), 221-236.
    • (1996) Discrete and Continuous Dynamical Systems , vol.2 , pp. 221-236
    • Cao, D.1    Dancer, E.N.2    Noussair, E.3    Yan, S.4
  • 4
    • 22644448831 scopus 로고    scopus 로고
    • Solutions with multiple peaks for nonlinear elliptic equations
    • D. Cao, E. Noussair and S. Yan, Solutions with multiple peaks for nonlinear elliptic equations, Proc. Royal Soc. Edinburgh, 129A(1999), 235-264.
    • (1999) Proc. Royal Soc. Edinburgh , vol.129 A , pp. 235-264
    • Cao, D.1    Noussair, E.2    Yan, S.3
  • 5
    • 0002629575 scopus 로고    scopus 로고
    • Existence and uniqueness results on single-peaked solutions of a nonlinear problem
    • D. Cao, E. Noussair and S. Yan, Existence and uniqueness results on single-peaked solutions of a nonlinear problem, Ann. Inst. H. Analyse non linéaire,15(1998), 73-111.
    • (1998) Ann. Inst. H. Analyse Non Linéaire , vol.15 , pp. 73-111
    • Cao, D.1    Noussair, E.2    Yan, S.3
  • 6
    • 0346806508 scopus 로고    scopus 로고
    • The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrödinger equations
    • to appear
    • E.N. Dancer, K.Y. Lam and S. Yan, The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrödinger equations, Abstract and Applied Analysis, to appear.
    • Abstract and Applied Analysis
    • Dancer, E.N.1    Lam, K.Y.2    Yan, S.3
  • 8
    • 0346175891 scopus 로고    scopus 로고
    • Interior and boundary peak solutions for a mixed boundary value problem
    • to appear
    • E.N. Dancer and S. Yan, Interior and boundary peak solutions for a mixed boundary value problem, Indiana University Math.J, to appear.
    • Indiana University Math.J
    • Dancer, E.N.1    Yan, S.2
  • 9
    • 0001341199 scopus 로고    scopus 로고
    • Local mountain passes for semilinear elliptic problems in unbounded domains
    • M. delPino and P. Felmer, Local mountain passes for semilinear elliptic problems in unbounded domains, Calc. Var. and PDE, 4(1996), 121-137.
    • (1996) Calc. Var. and PDE , vol.4 , pp. 121-137
    • DelPino, M.1    Felmer, P.2
  • 10
    • 0000260189 scopus 로고    scopus 로고
    • Multi-peak bound states for nonlinear Schrödinger equations
    • M. delPino and P. Felmer, Multi-peak bound states for nonlinear Schrödinger equations, Ann. IHP. Analyse non linéaire, 15(1998), 127-149.
    • (1998) Ann. IHP. Analyse Non Linéaire , vol.15 , pp. 127-149
    • DelPino, M.1    Felmer, P.2
  • 11
    • 0032345338 scopus 로고    scopus 로고
    • Existence of positive bound states of nonlinear Schrödinger equations with saddle-like potential
    • M. delPino, P. Felmer and H. Miyagaki, Existence of positive bound states of nonlinear Schrödinger equations with saddle-like potential, Nonlinear Anal., 34(1998), 979-989.
    • (1998) Nonlinear Anal. , vol.34 , pp. 979-989
    • DelPino, M.1    Felmer, P.2    Miyagaki, H.3
  • 12
    • 0004247206 scopus 로고
    • Springer-Verlag, Berlin, Heidelberg, New York
    • A. Dold, Lectures on algebraic topology, Springer-Verlag, Berlin, Heidelberg, New York, 1972.
    • (1972) Lectures on Algebraic Topology
    • Dold, A.1
  • 13
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum princible
    • B. Gidas, W.M. Ni and L. Nirenberg, Symmetry and related properties via the maximum princible, Comm.Math.Phys, 68(1979), 209-243.
    • (1979) Comm.Math.Phys , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, W.M.2    Nirenberg, L.3
  • 15
    • 0000616123 scopus 로고    scopus 로고
    • Existence of multi-bump solutions for nonlinear Schrödinger equations via variational method
    • C. Gui, Existence of multi-bump solutions for nonlinear Schrödinger equations via variational method, Comm. PDE 21(1996), 787-820.
    • (1996) Comm. PDE , vol.21 , pp. 787-820
    • Gui, C.1
  • 16
    • 0000264842 scopus 로고    scopus 로고
    • On a singularly perturbed elliptic equation
    • Y.Y. Li, On a singularly perturbed elliptic equation, Advances in Diff. Equations, 2(1997), 955-980.
    • (1997) Advances in Diff. Equations , vol.2 , pp. 955-980
    • Li, Y.Y.1
  • 17
    • 0032018882 scopus 로고    scopus 로고
    • On nonlinear Schrödinger equations with totally degenerate potentials
    • G. Lu and J. Wei, On nonlinear Schrödinger equations with totally degenerate potentials, C.R.Acad. Sci. Paris, t. 326, 1998.
    • (1998) C.R.Acad. Sci. Paris , vol.326
    • Lu, G.1    Wei, J.2
  • 18
    • 0348067405 scopus 로고    scopus 로고
    • On the positive multipeak solutions of a nonlinear elliptic problem
    • to appear
    • E.S. Noussair and S. Yan, On the positive multipeak solutions of a nonlinear elliptic problem, Proc. London Math. Soc., to appear.
    • Proc. London Math. Soc.
    • Noussair, E.S.1    Yan, S.2
  • 19
    • 0002944738 scopus 로고
    • The role of the Green's function in a non-linear elliptic equation involving the critical Sobolev exponent
    • O. Rey, The role of the Green's function in a non-linear elliptic equation involving the critical Sobolev exponent, J.Funct.Anal.89(1990), 1-52.
    • (1990) J.Funct.Anal. , vol.89 , pp. 1-52
    • Rey, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.