메뉴 건너뛰기




Volumn 59, Issue 2, 2007, Pages 393-421

Existence and non-existence for strongly coupled quasi-linear cooperative elliptic systems

Author keywords

Cooperative; Existence; Normal; Quasi linear; Strongly coupled; Systems

Indexed keywords


EID: 34547465573     PISSN: 00255645     EISSN: None     Source Type: Journal    
DOI: 10.2969/jmsj/05920393     Document Type: Article
Times cited : (9)

References (16)
  • 1
    • 0002620701 scopus 로고    scopus 로고
    • Non-existence results and estimates for some nonlinear elliptic equations
    • M. Bidaut-Veron and S. Pohozaev, Non-existence results and estimates for some nonlinear elliptic equations, J. Anal. Math., 84 (2001), 1-49.
    • (2001) J. Anal. Math , vol.84 , pp. 1-49
    • Bidaut-Veron, M.1    Pohozaev, S.2
  • 2
    • 0034692207 scopus 로고    scopus 로고
    • Existence of positive solutions for a nonvariational quasilinear elliptic system
    • Ph. Clement, J. Fleckinger, E. Mitidieri and F. de Thelin, Existence of positive solutions for a nonvariational quasilinear elliptic system, J. Differential Eqs., 166 (2000), 455-477.
    • (2000) J. Differential Eqs , vol.166 , pp. 455-477
    • Clement, P.1    Fleckinger, J.2    Mitidieri, E.3    de Thelin, F.4
  • 3
    • 0002017520 scopus 로고
    • A priori estimates and existence of positive solutions of emilinear elliptic equations
    • D. de Figueiredo, P. Lions and R. Naussbaum, A priori estimates and existence of positive solutions of emilinear elliptic equations, J. Math. Pures et Appl., 61 (1982), 41-63.
    • (1982) J. Math. Pures et Appl , vol.61 , pp. 41-63
    • de Figueiredo, D.1    Lions, P.2    Naussbaum, R.3
  • 4
    • 0002131222 scopus 로고
    • Existence et non-existence de solutions non triviales pour des systems elliptiques non linaires
    • F. de Thelin and J. Velin, Existence et non-existence de solutions non triviales pour des systems elliptiques non linaires, C. R. Acad. Sc. Paris, 313 (1991), 589-592.
    • (1991) C. R. Acad. Sc. Paris , vol.313 , pp. 589-592
    • de Thelin, F.1    Velin, J.2
  • 5
    • 0000958935 scopus 로고
    • Existence and non-existence of nontrivial solutions for some nonlinear elliptic systems
    • F. de Thelin and J. Velin, Existence and non-existence of nontrivial solutions for some nonlinear elliptic systems, Rev. Mat. Univ. Comput. Madrid, 6 (1993), 153-194.
    • (1993) Rev. Mat. Univ. Comput. Madrid , vol.6 , pp. 153-194
    • de Thelin, F.1    Velin, J.2
  • 6
    • 0001472514 scopus 로고
    • 1+αal regularity of weak solutions of degenerate elliptic equations
    • 1+αal regularity of weak solutions of degenerate elliptic equations, Nonlinear Anal., 7 (1983), 827-850.
    • (1983) Nonlinear Anal , vol.7 , pp. 827-850
    • DiBenedetto, E.1
  • 7
    • 84939873114 scopus 로고
    • A priori bounds for positive solutions of nonlinear elliptic equations
    • B. Gidas, and J. Spruck, 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
  • 8
    • 0000405695 scopus 로고
    • Boundary regularity for solutions of degenerate elliptic equations
    • G. M. Lieberman, Boundary regularity for solutions of degenerate elliptic equations, Nonlinear Anal., 12 (1988), 1202-1219.
    • (1988) Nonlinear Anal , vol.12 , pp. 1202-1219
    • Lieberman, G.M.1
  • 9
    • 0033209568 scopus 로고    scopus 로고
    • A strong maximum principle and a compact support principle for ingular elliptic inequalities
    • P. Pucci, J. Serrin and H. Zou, A strong maximum principle and a compact support principle for ingular elliptic inequalities, J. Math. Pures Appl., 78 (1999), 769-789.
    • (1999) J. Math. Pures Appl , vol.78 , pp. 769-789
    • Pucci, P.1    Serrin, J.2    Zou, H.3
  • 10
    • 0000798567 scopus 로고
    • Local behavior of solutions of quasilinear equations
    • J. Serrin, Local behavior of solutions of quasilinear equations, Acta Mathematica, 111 (1964), 302-347.
    • (1964) Acta Mathematica , vol.111 , pp. 302-347
    • Serrin, J.1
  • 11
    • 0036435240 scopus 로고    scopus 로고
    • Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities
    • J. Serrin and H. Zou, Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities, Acta Mathematica, 189 (2002), 79-142.
    • (2002) Acta Mathematica , vol.189 , pp. 79-142
    • Serrin, J.1    Zou, H.2
  • 12
    • 33846445540 scopus 로고
    • Regularity for a more general class of quasilinear elliptic equations
    • P. Tolksdorf, Regularity for a more general class of quasilinear elliptic equations, J. Diff. Equations, 51 (1984), 126-150.
    • (1984) J. Diff. Equations , vol.51 , pp. 126-150
    • Tolksdorf, P.1
  • 13
    • 0001335714 scopus 로고
    • A strong maximum principle for some quasilinear elliptic equations
    • J.-L. Vazquez, 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
    • Vazquez, J.-L.1
  • 14
    • 0035982241 scopus 로고    scopus 로고
    • A priori estimates for a semilinear elliptic system without variational structure and their applications
    • H. Zou, A priori estimates for a semilinear elliptic system without variational structure and their applications, Math. Ann., 323 (2002), 713-735.
    • (2002) Math. Ann , vol.323 , pp. 713-735
    • Zou, H.1
  • 15
    • 33646353976 scopus 로고    scopus 로고
    • A priori estimates and existence for strongly coupled semilinear cooperative elliptic systems
    • H. Zou, A priori estimates and existence for strongly coupled semilinear cooperative elliptic systems, Comm. Partial Differential Equations, 31 (2006), 735-773.
    • (2006) Comm. Partial Differential Equations , vol.31 , pp. 735-773
    • Zou, H.1
  • 16
    • 33845296575 scopus 로고    scopus 로고
    • A priori estimates and existence on strongly coupled cooperative elliptic systems
    • H. Zou, A priori estimates and existence on strongly coupled cooperative elliptic systems, Glasg. Math. J., 48 (2006), 437-457.
    • (2006) Glasg. Math. J , vol.48 , pp. 437-457
    • Zou, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.