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Abstract:

We establish conditions for existence and for nonexistence of nontrivial solutions to an elliptic system of partial differential equations. This system is of gradient type and has a nonlinearity with critical growth. © 2002 Southwest Texas State University.

Registro:

Documento: Artículo
Título:Existence of solutions for elliptic systems with critical Sobolev exponent
Autor:Amster, P.; De Nápoli, P.; Mariani, M.C.
Filiación:Departamento. de Matemática, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, (1428) Buenos Aires, Argentina
Palabras clave:Critical sobolev exponent; Elliptic systems; Variational methods
Año:2002
Volumen:2002
Página de inicio:XXCV
Página de fin:XXCVI
Título revista:Electronic Journal of Differential Equations
Título revista abreviado:Electron. J. Differ. Equ.
ISSN:10726691
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2002_n_pXXCV_Amster

Referencias:

  • Brezis, H., Nirenberg, L., (1983) Positive Solutions of Nonlinear Elliptic Equations Involving Critical Sobolev Exponents, 36, pp. 437-477. , Communications on Pure and Applied Mathematics
  • Boccardo, L., De Figueiredo, D., Some Remarks on A System of Quasilinear Elliptic Equations, , to appear
  • Brezis, H., Lieb, E., (1993) A Relation between Point Wise Convergence of Functions and Convergence of Functionals, 48 (3), pp. 486-499. , Proc. A.M.S
  • Clément, P., Mitidieri, E., And R., Manásevich (1993) Positive Solutions for A Quasilinear System Via Blow Up, 18 (12). , Comm. in Part. Diff. Eq
  • De Figueiredo, D., (1999) Semilinear Elliptic Systems, , Notes of the course on semilinear elliptic systems of the EDP Chile-CIMPA Summer School Universidad de la Frontera, Temuco, Chile, January
  • De Figueiredo, D., (1996) Semilinear Elliptic Systems: A Survey of Superlinear Problems., 2 (4), pp. 373-391. , Resenhas IME-USP
  • Gilbarg, D., Trudinger, N.S., (1983) Elliptic Partial Differential Equations of Second Order, , Springer- Verlag
  • Grantmacher, F.R., (1959) The Theory of Matrices, , Chelsea
  • Lions, P.L., (1985) The Concentration Compactness Principle in the Calculus of Variations. the Limit Case., pp. 145-201. , Rev. Mat. Iberoamericana
  • Pohozaev, S., (1965) Eigenfunctions of the Equation ΔU + λF(u) = 0., 165, pp. 36-39. , Nonlinearity Doklady Akad. Nauk SSRR
  • Pucci, P., Serrin, J., (1986) A General Variational Identity, 35 (3), pp. 681-703. , Indiana University Journal
  • Willem, M., (1986) Minimax Theorems, , Birkhauser

Citas:

---------- APA ----------
Amster, P., De Nápoli, P. & Mariani, M.C. (2002) . Existence of solutions for elliptic systems with critical Sobolev exponent. Electronic Journal of Differential Equations, 2002, XXCV-XXCVI.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2002_n_pXXCV_Amster [ ]
---------- CHICAGO ----------
Amster, P., De Nápoli, P., Mariani, M.C. "Existence of solutions for elliptic systems with critical Sobolev exponent" . Electronic Journal of Differential Equations 2002 (2002) : XXCV-XXCVI.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2002_n_pXXCV_Amster [ ]
---------- MLA ----------
Amster, P., De Nápoli, P., Mariani, M.C. "Existence of solutions for elliptic systems with critical Sobolev exponent" . Electronic Journal of Differential Equations, vol. 2002, 2002, pp. XXCV-XXCVI.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2002_n_pXXCV_Amster [ ]
---------- VANCOUVER ----------
Amster, P., De Nápoli, P., Mariani, M.C. Existence of solutions for elliptic systems with critical Sobolev exponent. Electron. J. Differ. Equ. 2002;2002:XXCV-XXCVI.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2002_n_pXXCV_Amster [ ]