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Volumn 4, Issue 2, 2005, Pages 341-356

A result on singularly perturbed elliptic problems

Author keywords

Singularly perturbed elliptic problems; Variational methods

Indexed keywords


EID: 33746523694     PISSN: 15340392     EISSN: 15535258     Source Type: Journal    
DOI: 10.3934/cpaa.2005.4.341     Document Type: Article
Times cited : (5)

References (25)
  • 1
    • 0031313734 scopus 로고    scopus 로고
    • Semiclassical states of nonlinear Schrödinger equations
    • A. Ambrosetti, M. Badiale and S. Cingolani, Semiclassical states of nonlinear Schrödinger equations, Arch. Rat. Mech. Anal., 140 (1997), 285-300.
    • (1997) Arch. Rat. Mech. Anal. , vol.140 , pp. 285-300
    • Ambrosetti, A.1    Badiale, M.2    Cingolani, S.3
  • 2
    • 0040435197 scopus 로고    scopus 로고
    • Multiplicity results for some nonlinear Schrödinger equations with potentials
    • A. Ambrosetti, A. Malchiodi and S. Secchi, Multiplicity results for some nonlinear Schrödinger equations with potentials, Arch. Rat. Mech. Anal., 159 (2001), 253-271.
    • (2001) Arch. Rat. Mech. Anal. , vol.159 , pp. 253-271
    • Ambrosetti, A.1    Malchiodi, A.2    Secchi, S.3
  • 4
    • 33747045188 scopus 로고    scopus 로고
    • Multi-peak semiclassical states of nonlinear Schrödinger equations
    • S. Cingolani and M. Nolasco, Multi-peak semiclassical states of nonlinear Schrödinger equations, Proc. Royal Soc. Edin., 128 A (1998), 1249-1260.
    • (1998) Proc. Royal Soc. Edin. , vol.128 A , pp. 1249-1260
    • Cingolani, S.1    Nolasco, M.2
  • 5
    • 0001341199 scopus 로고    scopus 로고
    • Local mountain passes for semilinear elliptic problems in unbounded domains
    • M. del Pino and P. Felmer, Local mountain passes for semilinear elliptic problems in unbounded domains, Calc. Var. PDE, 4 (1996), 121-137.
    • (1996) Calc. Var. PDE , vol.4 , pp. 121-137
    • Del Pino, M.1    Felmer, P.2
  • 6
    • 0031237479 scopus 로고    scopus 로고
    • Semiclassical sates of nonlinear Schrödinger equations
    • M. del Pino and P. Felmer, Semiclassical sates of nonlinear Schrödinger equations, J. Funct. Anal., 1 (1997), 245-265.
    • (1997) J. Funct. Anal. , vol.1 , pp. 245-265
    • Del Pino, M.1    Felmer, P.2
  • 7
    • 0000260189 scopus 로고    scopus 로고
    • Multi-peak bound states of nonlinear Schrödinger equations
    • M. del Pino and P. Felmer, Multi-peak bound states of nonlinear Schrödinger equations, Ann. IHP Analyse Nonlineaire, 15 (1998), 127-149.
    • (1998) Ann. IHP Analyse Nonlineaire , vol.15 , pp. 127-149
    • Del Pino, M.1    Felmer, P.2
  • 8
    • 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., (1) 324 (2002), 1-32.
    • (2002) Math. Ann. , vol.324 , Issue.1 , pp. 1-32
    • Del Pino, M.1    Felmer, P.2
  • 9
    • 0001613187 scopus 로고
    • Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
    • A. Floer and A. Weinstein, Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential, J. Funct. Anal., (3) 69 (1986), 397-408.
    • (1986) J. Funct. Anal. , vol.69 , Issue.3 , pp. 397-408
    • Floer, A.1    Weinstein, A.2
  • 10
    • 33746498274 scopus 로고    scopus 로고
    • A variational approach to bifurcation from spectral gaps
    • J. Giacomoni and L. Jeanjean, A variational approach to bifurcation from spectral gaps, Ann. Scuola. Norm. Sup. Pisa Cl. Sci., (4) 28 (1999), 651-674.
    • (1999) Ann. Scuola. Norm. Sup. Pisa Cl. Sci. , vol.28 , Issue.4 , pp. 651-674
    • Giacomoni, J.1    Jeanjean, L.2
  • 12
    • 0034356993 scopus 로고    scopus 로고
    • Some results on a class of nonlinear Schrödinger equations
    • M. Grossi, Some results on a class of nonlinear Schrödinger equations, Math. Zeit., 235 (2000), 687-705.
    • (2000) Math. Zeit. , vol.235 , pp. 687-705
    • Grossi, M.1
  • 13
    • 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. Partial Differential Equations, 21 (1996), 787-820.
    • (1996) Comm. Partial Differential Equations , vol.21 , pp. 787-820
    • Gui, C.1
  • 14
    • 0033269302 scopus 로고    scopus 로고
    • Local Conditions insuring bifurcation from the continuous spectrum
    • L. Jeanjean, Local Conditions insuring bifurcation from the continuous spectrum, Math. Zeit., 232 (1999), 651-674.
    • (1999) Math. Zeit. , vol.232 , pp. 651-674
    • Jeanjean, L.1
  • 17
    • 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, Cal. Var. and PDE, 21 (2004), 287-318.
    • (2004) Cal. Var. and PDE , vol.21 , pp. 287-318
    • Jeanjean, L.1    Tanaka, K.2
  • 18
    • 0000825718 scopus 로고    scopus 로고
    • On interacting bumps of semi-classical states of nonlinear Schrödinger equations
    • X. Kang and J. Wei, On interacting bumps of semi-classical states of nonlinear Schrödinger equations, Advances Diff. Eq., 5 (2000), 899-928.
    • (2000) Advances Diff. Eq. , vol.5 , pp. 899-928
    • Kang, X.1    Wei, J.2
  • 19
    • 0000264842 scopus 로고    scopus 로고
    • On a singularly perturbed elliptic equation
    • Y.Y. Li, On a singularly perturbed elliptic equation, Adv. Differential Equations, 2 (1997), 955-980.
    • (1997) Adv. Differential Equations , vol.2 , pp. 955-980
    • Li, Y.Y.1
  • 21
    • 0000998584 scopus 로고
    • On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
    • Y.G. Oh, On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential, Comm. Math. Phys., (2) 131 (1990), 223-253.
    • (1990) Comm. Math. Phys. , vol.131 , Issue.2 , pp. 223-253
    • Oh, Y.G.1
  • 22
    • 0345754855 scopus 로고    scopus 로고
    • Multi-peak solutions for a class of nonlinear Schrödinger equations
    • A. Pistoia, Multi-peak solutions for a class of nonlinear Schrödinger equations, NoDEA Nonlinear Diff. Eq. Appl., 9 (2002), 69-91.
    • (2002) NoDEA Nonlinear Diff. Eq. Appl. , vol.9 , pp. 69-91
    • Pistoia, A.1
  • 23
    • 34249835055 scopus 로고
    • On a class of nonlinear Schrödinger equations
    • P. Rabinowitz, On a class of nonlinear Schrödinger equations, Z. Angew Math Phys., 43, (1992), 270-291.
    • (1992) Z. Angew Math Phys. , vol.43 , pp. 270-291
    • Rabinowitz, P.1
  • 25
    • 34250081368 scopus 로고
    • On concentration of positive bound states of nonlinear Schrödinger equations
    • X. Wang, On concentration of positive bound states of nonlinear Schrödinger equations, Comm. Math. Phys., 153 (1993), 229-244.
    • (1993) Comm. Math. Phys. , vol.153 , pp. 229-244
    • Wang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.