메뉴 건너뛰기




Volumn 20, Issue 1, 2004, Pages 67-86

Some nonexistence results for positive solutions of elliptic equations in unbounded domains

Author keywords

Kelvin transform; Liouville theorems; Maximum principle; Moving plane

Indexed keywords


EID: 3042635720     PISSN: 02132230     EISSN: 22350616     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (57)

References (22)
  • 1
    • 0347354889 scopus 로고    scopus 로고
    • A few symmetry results for nonlinear elliptic PDE on noncompact manifolds
    • ALMEIDA, L., DAMASCELLI, L., GE, Y.: A few symmetry results for nonlinear elliptic PDE on noncompact manifolds. Ann. Inst. H. Poincaré Anal. Non Linéaire 19 (2002), no. 3, 313-342.
    • (2002) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.19 , Issue.3 , pp. 313-342
    • Almeida, L.1    Damascelli, L.2    Ge, Y.3
  • 2
    • 0000783199 scopus 로고    scopus 로고
    • N through the method of moving planes
    • N through the method of moving planes. Comm. Partial Differential Equations 22 (1997), no. 9 10, 1671-1690.
    • (1997) Comm. Partial Differential Equations , vol.22 , Issue.9-10 , pp. 1671-1690
    • Bianchi, G.1
  • 4
    • 0001440517 scopus 로고    scopus 로고
    • Inequalities for second order elliptic equations with applications to unbounded domains I
    • BERESTYCKI, H., CAFFARELLI, L.A. AND NIRENBERG, L.: Inequalities for second order elliptic equations with applications to unbounded domains I. Duke Math J. 81 (1996), 467-494.
    • (1996) Duke Math J. , vol.81 , pp. 467-494
    • Berestycki, H.1    Caffarelli, L.A.2    Nirenberg, L.3
  • 5
    • 0031515499 scopus 로고    scopus 로고
    • Monotonicity for elliptic equations in unbounded lipshitz domains
    • BERESTYCKI, H., CAFFARELLI, L.A. AND NIRENBERG, L.: Monotonicity for elliptic equations in unbounded Lipshitz domains. Comm. Pure Appl. Math. 50 (1997), 1089-1111.
    • (1997) Comm. Pure Appl. Math. , vol.50 , pp. 1089-1111
    • Berestycki, H.1    Caffarelli, L.A.2    Nirenberg, L.3
  • 7
    • 51249168244 scopus 로고
    • A nonexistence theorem for an equation with critical sobolev exponent in the half space
    • BERESTYCKI, H., GROSSI, M. AND PACELLA, F.: A nonexistence theorem for an equation with critical Sobolev exponent in the half space. Manuscripts Math. 77 (1992), 265-281.
    • (1992) Manuscripts Math. , vol.77 , pp. 265-281
    • Berestycki, H.1    Grossi, M.2    Pacella, F.3
  • 8
    • 84990617031 scopus 로고
    • Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
    • CAFFARELLI, L. A., GIDAS, B. AND SPRUCK, J.: Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth. Comm. Pure Appl. Math. 42 (1989), 271-297.
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 271-297
    • Caffarelli, L.A.1    Gidas, B.2    Spruck, J.3
  • 9
    • 84974002703 scopus 로고
    • Local behavior of singular positive solutions of semilinear elliptic equations with sobolev exponent
    • CHEN, C. C. AND LIN, C. S.: Local behavior of singular positive solutions of semilinear elliptic equations with sobolev exponent. Duke Math. J. 78 (1995), no. 2, 315-334.
    • (1995) Duke Math. J. , vol.78 , Issue.2 , pp. 315-334
    • Chen, C.C.1    Lin, C.S.2
  • 10
    • 84974004406 scopus 로고
    • Classification of solutions of some nonlinear elliptic equations
    • CHEN, W. AND LI, C.: Classification of solutions of some nonlinear elliptic equations. Duke Math. J. 63 (1991), no. 3, 615-622.
    • (1991) Duke Math. J. , vol.63 , Issue.3 , pp. 615-622
    • Chen, W.1    Li, C.2
  • 11
    • 0038706266 scopus 로고    scopus 로고
    • Semilinear elliptic problems with mixed dirchlet-neumann boundary conditions
    • COLORADO HERAS, E. AND PERAL ALONSO, I.: Semilinear elliptic problems with mixed Dirchlet-Neumann boundary conditions. J. Funct. Anal. 199 (2003), no. 2, 468-507.
    • (2003) J. Funct. Anal. , vol.199 , Issue.2 , pp. 468-507
    • Colorado Heras, E.1    Peral Alonso, I.2
  • 12
    • 84971725019 scopus 로고
    • Some notes on the method of moving planes
    • DANCER, E. N.: Some notes on the method of moving planes. Bull. Austral. Math. Soc. 46 (1992), 425-434.
    • (1992) Bull. Austral. Math. Soc. , vol.46 , pp. 425-434
    • Dancer, E.N.1
  • 15
    • 84980182383 scopus 로고
    • Global and local behavior of positive solutions of nonlinear elliptic equations
    • GIDAS, B., SPRUCK, J.: Global and local behavior of positive solutions of nonlinear elliptic equations. Comm. Pure Appl. Math. 34 (1981), 525-598.
    • (1981) Comm. Pure Appl. Math. , vol.34 , pp. 525-598
    • Gidas, B.1    Spruck, J.2
  • 16
    • 84939873114 scopus 로고
    • A priori bounds for positive solutions of nonlinear elliptic equations
    • GIDAS, B., SPRUCK, J.: A Priori Bounds for positive solutions of nonlinear elliptic equations. Comm. Partial Differential Equations 6 (1981), 883-901.
    • (1981) Comm. Partial Differential Equations , vol.6 , pp. 883-901
    • Gidas, B.1    Spruck, J.2
  • 17
    • 0038521519 scopus 로고    scopus 로고
    • Classification of nonnegative solutions to some elliptic problems
    • LOU, Y., ZHU, M.: Classification of nonnegative solutions to some elliptic problems. Differential Integral Equations 12 (1999), no. 4, 601-612.
    • (1999) Differential Integral Equations , vol.12 , Issue.4 , pp. 601-612
    • Lou, Y.1    Zhu, M.2
  • 18
    • 0033209568 scopus 로고    scopus 로고
    • A strong maximum principle for quasilinear elliptic equations
    • PUCCI, P., SERRIN, J. AND ZOU, H.: A strong maximum principle for quasilinear elliptic equations. J. Math. Pures Appl. (9) 78 (1999), 769-789.
    • (1999) J. Math. Pures Appl. (9) , vol.78 , pp. 769-789
    • Pucci, P.1    Serrin, J.2    Zou, H.3
  • 20
    • 0006796629 scopus 로고
    • Symmetry properties of positive solutions to some elliptic equations with nonlinear boundary conditions
    • TERRACINI, S.: Symmetry properties of positive solutions to some elliptic equations with nonlinear boundary conditions. Differential Integral Equations 8 (1995), 1911-1922.
    • (1995) Differential Integral Equations , vol.8 , pp. 1911-1922
    • Terracini, S.1
  • 21
    • 0000155087 scopus 로고    scopus 로고
    • On positive entire solutions to a class of equations with a singular coefficient and critical exponent
    • TERRACINI, S.: On positive entire solutions to a class of equations with a singular coefficient and critical exponent. Adv. Differential Equations 1 (1996), no. 2, 241-264.
    • (1996) Adv. Differential Equations , vol.1 , Issue.2 , pp. 241-264
    • Terracini, S.1
  • 22
    • 0001335714 scopus 로고
    • A strong maximum principle for some quasilinear elliptic equations
    • VÁZQUEZ, J. L.: A Strong maximum principle for some quasilinear elliptic equations. Appl. Math. Optim. 12 (1984), 191-202.
    • (1984) Appl. Math. Optim. , vol.12 , pp. 191-202
    • Vázquez, J.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.