메뉴 건너뛰기




Volumn 50, Issue 2, 1998, Pages 159-178

On the interior spike layer solutions to a singularly perturbed neumann problem

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032398054     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1178224971     Document Type: Article
Times cited : (83)

References (22)
  • 1
    • 0000437039 scopus 로고
    • The role of mean curvature in a semilinear Neumann problem involving the critical Sobolev exponent, Comm
    • Adimurthi, G. Mancinni and S. L. Yadava, The role of mean curvature in a semilinear Neumann problem involving the critical Sobolev exponent, Comm. Partial Differential Equations 20 (1995), 591-631.
    • (1995) Partial Differential Equations , vol.20 , pp. 591-631
    • Adimurthi, G.M.1    Yadava, S.L.2
  • 2
    • 43949176286 scopus 로고
    • Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity
    • Adimurthi, F. Pacella and S. L. Yadava, Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity, J. Funct. Anal. 113 (1993), 318-350.
    • (1993) J. Funct. Anal , vol.113 , pp. 318-350
    • Adimurthi, F.P.1    Yadava, S.L.2
  • 3
    • 84972493844 scopus 로고
    • Characterization of concentration points and L∞-estimates for solutions involving the critical Sobolev exponent
    • ∞-estimates for solutions involving the critical Sobolev exponent, Differential Integral Equations 8 (1995), 41-68.
    • (1995) Differential Integral Equations , vol.8 , pp. 41-68
    • Adimurthi, F.P.1    Yadava, S.L.2
  • 5
    • 0000924617 scopus 로고
    • n, Mathematical Analysis and Applications, Part A
    • Academic Press, New York
    • n, Mathematical Analysis and Applications, Part A, Adv. Math. Suppl. Studies 7A (1981), Academic Press, New York, 369-402.
    • (1981) Adv. Math. Suppl. Studies , vol.7A , pp. 369-402
    • Gidas, B.1    Ni, W.-M.2    Nirenberg, L.3
  • 6
    • 34249974409 scopus 로고
    • n
    • n, Arch. Rational Mech. Anal. 105 (1989), 243-266.
    • (1989) Anal , vol.105 , pp. 243-266
    • Kwong, M.K.1
  • 7
    • 0002542873 scopus 로고
    • Large amplitude stationary solutions to a chemotaxis systems
    • C.-S. Lin, W.-M. Ni and I. Takagi, Large amplitude stationary solutions to a chemotaxis systems, J. Differential Equations 72 (1988), 1-27.
    • (1988) J. Differential Equations , vol.72 , pp. 1-27
    • Lin, C.-S.1    Ni, W.-M.2    Takagi, I.3
  • 8
    • 84973998562 scopus 로고
    • Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents
    • W.-M. Ni, X. Pan and I. Takagi, Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents, Duke Math. J. 67 (1992), 1-20.
    • (1992) Duke Math. J , vol.67 , pp. 1-20
    • Ni, W.-M.1    Pan, X.2    Takagi, I.3
  • 9
    • 84990581933 scopus 로고
    • On the shape of least energy solution to a semilinear Neumann problem
    • W.-M. Ni and I. Takagi, On the shape of least energy solution to a semilinear Neumann problem, Comm. Pure Appl. Math. 41 (1991), 819-851.
    • (1991) Comm. Pure Appl. Math , vol.41 , pp. 819-851
    • Ni, W.-M.1    Takagi, I.2
  • 10
    • 84971179248 scopus 로고
    • Locating the peaks of least energy solutions to a semilinear Neumann problem
    • W.-M. Ni and I. Takagi, Locating the peaks of least energy solutions to a semilinear Neumann problem, Duke Math. J. 70 (1993), 247-281.
    • (1993) Duke Math. J , vol.70 , pp. 247-281
    • Ni, W.-M.1    Takagi, I.2
  • 11
    • 0001672333 scopus 로고
    • Point-condensation generated be a reaction-diffusion system in axially symmetric domains
    • W.-M. Ni and I. Takagi, Point-condensation generated be a reaction-diffusion system in axially symmetric domains, Japan J. Industrial Appl. Math. 12 (1995), 327-365.
    • (1995) Japan J. Industrial Appl. Math , vol.12 , pp. 327-365
    • Ni, W.-M.1    Takagi, I.2
  • 12
    • 84990662413 scopus 로고
    • On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems
    • W.-M. Ni and J. Wei, On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems, Comm. Pure Appl. Math. 48 (1995), 731-768.
    • (1995) Comm. Pure Appl. Math , vol.48 , pp. 731-768
    • Ni, W.-M.1    Wei, J.2
  • 13
    • 0002816612 scopus 로고
    • Condensation of least-energy solutions of a semilinear Neumann problem
    • X. B. Pan, Condensation of least-energy solutions of a semilinear Neumann problem, J. Partial Differential Equations 8 (1995), 1-36.
    • (1995) J. Partial Differential Equations , vol.8 , pp. 1-36
    • Pan, X.B.1
  • 14
    • 0000041007 scopus 로고
    • Condensation of least-energy solutions: The effect of boundary conditions
    • X. B. Pan, Condensation of least-energy solutions: the effect of boundary conditions, Nonlinear Analysis: TMA 24 (1995), 195-222.
    • (1995) Nonlinear Analysis: TMA , vol.24 , pp. 195-222
    • Pan, X.B.1
  • 15
    • 0001025764 scopus 로고
    • Further study on the effect of boundary conditions
    • X. B. Pan, Further study on the effect of boundary conditions, J. Differential Equations 117 (1995), 446-468.
    • (1995) J. Differential Equations , vol.117 , pp. 446-468
    • Pan, X.B.1
  • 16
    • 85033901650 scopus 로고    scopus 로고
    • Semilinear Neumann problem in an exterior domain
    • appear
    • X. B. Pan and X. F. Wang, Semilinear Neumann problem in an exterior domain, Nonlinear Analysis: TMA, to appear.
    • Nonlinear Analysis: TMA
    • Pan, X.B.1    Wang, X.F.2
  • 17
    • 0030585882 scopus 로고    scopus 로고
    • Least energy solutions of semilinear Neumann problems and asymptotics
    • X. B. Pan and Xing-Wang Xu, Least energy solutions of semilinear Neumann problems and asymptotics, J. Math. Anal. Appl. 201 (1996), 532-554.
    • (1996) J. Math. Anal. Appl , vol.201 , pp. 532-554
    • Pan, X.B.1    Xing-Wang, X.2
  • 18
    • 21144478287 scopus 로고
    • On the existence of multiple single-peaked solutions for a semilinear Neumann problem
    • Z.-Q. Wang, On the existence of multiple single-peaked solutions for a semilinear Neumann problem, Arch. Rational Mech. Anal. 120 (1992), 375-399.
    • (1992) Arch. Rational Mech. Anal , vol.120 , pp. 375-399
    • Wang, Z.-Q.1
  • 19
    • 0030578649 scopus 로고    scopus 로고
    • On the construction of single-peaked solutions of a singularly perturbed semilinear Dirichlet problem
    • J. Wei, On the construction of single-peaked solutions of a singularly perturbed semilinear Dirichlet problem, J. Differential Equations 129 (1996), 315-333.
    • (1996) J. Differential Equations , vol.129 , pp. 315-333
    • Wei, J.1
  • 20
    • 84999132037 scopus 로고    scopus 로고
    • On the effect of the geometry of the domain in a singularly perturbed Dirichlet problem
    • appear
    • J. Wei, On the effect of the geometry of the domain in a singularly perturbed Dirichlet problem, Differential Integral Equations, to appear.
    • Differential Integral Equations
    • Wei, J.1
  • 21
    • 0031562011 scopus 로고    scopus 로고
    • On the boundary spike layer solutions of a singularly perturbed Neumann problem
    • J. Wei, On the boundary spike layer solutions of a singularly perturbed Neumann problem, J. Differential Equations 134 (1997), 104-133.
    • (1997) J. Differential Equations , vol.134 , pp. 104-133
    • Wei, J.1
  • 22
    • 0013481437 scopus 로고    scopus 로고
    • On the interior spike layer solutions for some singular perturbation problems
    • Section A (Mathematics), to appear
    • J. Wei, On the interior spike layer solutions for some singular perturbation problems, Proc. Royal Soc. Edinburgh, Section A (Mathematics), to appear.
    • Proc. Royal Soc. Edinburgh
    • Wei, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.