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Volumn 19, Issue 5, 2002, Pages 705-714

Inheritance of symmetry for positive solutions of semilinear elliptic boundary value problems

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; MAXIMUM PRINCIPLE; PROBLEM SOLVING; THEOREM PROVING;

EID: 0347354924     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(02)00099-9     Document Type: Article
Times cited : (4)

References (15)
  • 2
    • 0001508520 scopus 로고
    • Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations
    • Berestycki H., Nirenberg L. Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations. J. Geom. Phys. 5:1988;237-275.
    • (1988) J. Geom. Phys. , vol.5 , pp. 237-275
    • Berestycki, H.1    Nirenberg, L.2
  • 4
    • 0000919109 scopus 로고
    • A nonlinear boundary value problem with many positive solutions
    • Coffman C.V. A nonlinear boundary value problem with many positive solutions. J. Differential Equations. 54:1984;429-437.
    • (1984) J. Differential Equations , vol.54 , pp. 429-437
    • Coffman, C.V.1
  • 6
    • 0001617997 scopus 로고
    • The effect of the domain shape on the number of positive solutions of certain nonlinear equations
    • Dancer E.N. The effect of the domain shape on the number of positive solutions of certain nonlinear equations. J. Differential Equations. 74:1988;120-156.
    • (1988) J. Differential Equations , vol.74 , pp. 120-156
    • Dancer, E.N.1
  • 7
    • 84972510506 scopus 로고
    • On the existence of a maximal weak solution for a semilinear elliptic equation
    • Dancer E.N., Sweers G. On the existence of a maximal weak solution for a semilinear elliptic equation. Differential Integral Equations. 2:1989;533-540.
    • (1989) Differential Integral Equations , vol.2 , pp. 533-540
    • Dancer, E.N.1    Sweers, G.2
  • 8
    • 0348197076 scopus 로고    scopus 로고
    • An Introduction to Maximum Principles and Symmetry in Elliptic Problems
    • Cambridge: Cambridge University Press
    • Fraenkel L.E. An Introduction to Maximum Principles and Symmetry in Elliptic Problems. Cambridge Tracts in Mathematics. 128:2000;Cambridge University Press, Cambridge.
    • (2000) Cambridge Tracts in Mathematics , vol.128
    • Fraenkel, L.E.1
  • 9
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • Gidas B., Ni W.M., Nirenberg L. Symmetry and related properties via the maximum principle. 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
  • 10
    • 0347567422 scopus 로고
    • A geometric property of level sets of solutions to semilinear elliptic Dirichlet problems
    • Kawohl B. A geometric property of level sets of solutions to semilinear elliptic Dirichlet problems. Applicable Anal. 16:1983;229-233.
    • (1983) Applicable Anal. , vol.16 , pp. 229-233
    • Kawohl, B.1
  • 11
    • 0034404837 scopus 로고    scopus 로고
    • Symmetry results for functions yielding best constants in Sobolev-type inequalities
    • Kawohl B. Symmetry results for functions yielding best constants in Sobolev-type inequalities. Discrete Continuous Dynam. Systems. 6:2000;683-690.
    • (2000) Discrete Continuous Dynam. Systems , vol.6 , pp. 683-690
    • Kawohl, B.1
  • 12
    • 0001766829 scopus 로고
    • A. Strong comparison theorems for elliptic equations of second order
    • McNabb A. A. Strong comparison theorems for elliptic equations of second order. J. Math. Mech. 10:1961;431-440.
    • (1961) J. Math. Mech. , vol.10 , pp. 431-440
    • Mcnabb, A.1
  • 14
    • 0001179686 scopus 로고
    • Semilinear elliptic problems on domains with corners
    • Sweers G. Semilinear elliptic problems on domains with corners. Comm. Partial Differential Equations. 14:1989;1229-1247.
    • (1989) Comm. Partial Differential Equations , vol.14 , pp. 1229-1247
    • Sweers, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.