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Volumn 52, Issue 3, 2002, Pages 1017-1034

Existence results for some nonlinear elliptic system with lack of compactness

Author keywords

Critical exponent; Elliptic system; Local minimization; Noncompactness condition; Pseudo Laplacian

Indexed keywords

FUNCTIONS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; THEOREM PROVING;

EID: 0037210331     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(02)00151-7     Document Type: Article
Times cited : (28)

References (10)
  • 1
    • 44049113403 scopus 로고
    • Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
    • Boccardo L., Murat F. Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations. Nonlinear Anal. Theory, Meth. Appl. 19(6):1992;581-597.
    • (1992) Nonlinear Anal. Theory, Meth. Appl. , vol.19 , Issue.6 , pp. 581-597
    • Boccardo, L.1    Murat, F.2
  • 3
    • 0000194013 scopus 로고    scopus 로고
    • On multiple solutions for nonhomogeneous system of elliptic equations
    • Chabrowski J. On multiple solutions for nonhomogeneous system of elliptic equations. Rev. Mat. Univ. Comput. Madrid. 9(1):1996;207-234.
    • (1996) Rev. Mat. Univ. Comput. Madrid , vol.9 , Issue.1 , pp. 207-234
    • Chabrowski, J.1
  • 4
    • 0001294182 scopus 로고
    • The concentration-compactness principle in the calculus of variation, the limit case
    • Parts 1,2
    • P.L. Lions, The concentration-compactness principle in the calculus of variation, the limit case, Parts 1,2, Rev. Mat. Iberoamericana 1 (1985) 145-201, 45-121.
    • (1985) Rev. Mat. Iberoamericana , vol.1 , pp. 145-201
    • Lions, P.L.1
  • 5
    • 0001649220 scopus 로고    scopus 로고
    • Existence and nonexistence of nontrivial solution of some degenerate elliptic equations
    • Ôtani M. Existence and nonexistence of nontrivial solution of some degenerate elliptic equations. J. Funct. Anal. 76:1998;140-159.
    • (1998) J. Funct. Anal. , vol.76 , pp. 140-159
    • Ôtani, M.1
  • 6
    • 0000514956 scopus 로고
    • Eigenfunctions of the equations Δ u+λ f(u) = 0
    • Pohozaev S.I. Eigenfunctions of the equations. Δ u+λ f(u) = 0 Soviet Math. Doklady. Tome. 165(1):1965;1408-1411.
    • (1965) Soviet Math. Doklady. Tome. , vol.165 , Issue.1 , pp. 1408-1411
    • Pohozaev, S.I.1
  • 7
    • 85013168104 scopus 로고
    • Nonhomogenous elliptic equations involving critical Sobolev exponent
    • Tarantello G. Nonhomogenous elliptic equations involving critical Sobolev exponent. Ann. Inst. H. Poincare Anal. Non-linéaire. 9(3):1992;281-304.
    • (1992) Ann. Inst. H. Poincare Anal. Non-linéaire , vol.9 , Issue.3 , pp. 281-304
    • Tarantello, G.1
  • 8
    • 0001344326 scopus 로고
    • Résultats d'existence et de non-existence pour la solution positive et bornée d'une E.D.P elliptique non-linéaire
    • De Thelin F. Résultats d'existence et de non-existence pour la solution positive et bornée d'une E.D.P elliptique non-linéaire. Ann. Fac. Sc. Toulouse Math. 8(3):1986;375-389.
    • (1986) Ann. Fac. Sc. Toulouse Math. , vol.8 , Issue.3 , pp. 375-389
    • De Thelin, F.1
  • 10
    • 0000958935 scopus 로고
    • Existence and nonexistence of nontrivial positive solutions for elliptic systems
    • Velin J., de Thelin F. Existence and nonexistence of nontrivial positive solutions for elliptic systems. Rev. Mat. Univ. Comput. Madrid. 6(1):1993;153-194.
    • (1993) Rev. Mat. Univ. Comput. Madrid , vol.6 , Issue.1 , pp. 153-194
    • Velin, J.1    De Thelin, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.