@article{AFST_1986-1987_5_8_3_257_0, author = {Mancini, Giovanni and Mitidieri, Enzo}, title = {Positive solutions of some coercive-anticoercive elliptic systems}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {257--292}, publisher = {Universit\'e Paul Sabatier}, address = {Toulouse}, volume = {Ser. 5, 8}, number = {3}, year = {1986-1987}, mrnumber = {948755}, zbl = {0661.35032}, language = {en}, url = {http://www.numdam.org/item/AFST_1986-1987_5_8_3_257_0/} }
TY - JOUR AU - Mancini, Giovanni AU - Mitidieri, Enzo TI - Positive solutions of some coercive-anticoercive elliptic systems JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1986-1987 SP - 257 EP - 292 VL - 8 IS - 3 PB - Université Paul Sabatier PP - Toulouse UR - http://www.numdam.org/item/AFST_1986-1987_5_8_3_257_0/ LA - en ID - AFST_1986-1987_5_8_3_257_0 ER -
%0 Journal Article %A Mancini, Giovanni %A Mitidieri, Enzo %T Positive solutions of some coercive-anticoercive elliptic systems %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1986-1987 %P 257-292 %V 8 %N 3 %I Université Paul Sabatier %C Toulouse %U http://www.numdam.org/item/AFST_1986-1987_5_8_3_257_0/ %G en %F AFST_1986-1987_5_8_3_257_0
Mancini, Giovanni; Mitidieri, Enzo. Positive solutions of some coercive-anticoercive elliptic systems. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 5, Tome 8 (1986-1987) no. 3, pp. 257-292. http://www.numdam.org/item/AFST_1986-1987_5_8_3_257_0/
[1] Dual variational methods in critical point theory and applications, J. Funct. Anal., t. 14, 1973, p. 349-381. | MR | Zbl
), ).-[2] The mathematical theory of diffusion and reaction in permeable catalyst Vol. I-II. - Clarendom Press, Oxford, 1975. | Zbl
).-[3] Equation de Yamabe sur un ouvert non contractile. Proceedings of the Conference on Variational Methods in Differential Problems, Trieste 1985. | MR | Zbl
), ).-[4] Elliptic equations with limiting Sobolev exponents : the impact of topology (to appear on Comm. Pure and Appl. Math.). | MR | Zbl
). -[5] Remarks on the Schroedinger operator with singular complex potentials, J. Math. Pures et Appl., t. 59, 1979, p. 137-151. | MR | Zbl
), ). -[6] Positive solutions of nonlinear elliptic equations involving critical exponents, Comm. Pure Appl. Math., t. XXXIV, 1983, p. 437-477. | MR | Zbl
), ).-[7] Stability and bifurcation of steady state solutions for predatorpey equations, Adv. in Appl. Math., t. 3, 1982, p. 288-334. | MR | Zbl
), ), ). -[8] On the existence and multiplicity of positive solutions of a semilinear elliptic system, Trabalho de Matêmatica n°216, Univ. de Brasilia, October 1985.
). -[9] Positive solutions for superlinear elliptic system without variational structure, Nonlinear Anal. T.M.A., t. 12, 1984, p. 1427-1436. | MR | Zbl
). -[10] Stable coexistenc states in the Volterra-Lotka competition model with diffusion, S.I.A.M. on Appl. Math., t. 44, 1984, p. 1112-1133. | MR | Zbl
), ). -[11] On positive solutions of some pairs of differential equations I, Trans. Amer. Math. Soc., t. 284, 1984, p. 729-743. | MR | Zbl
). -[12] A priori estimates and existence of positive solutions of semilinear elliptic equations, J. Math. Pures et Appl., t. 61, 1982, p. 41-63. | MR | Zbl
), ), ). -[13] A maximum principle for an elliptic system and applications to semilinear problems, S.I.A.M. J. Math. Anal., t. 17, 1986, p. 836-849. | MR | Zbl
), ). -[14] Simmetry and related properties via the maximum principle, Comm. Math. Phys., t. 68, 1979, p. 209-243. | MR | Zbl
) - ) - ). -[15] Continuation and comparison methods for some nonlinear elliptic systems (preprint). | MR
).-[16] Standing wave solutions for a system derived from the Fitzhugh-Nagumo equations for nerve conduction, S.I.A.M. J. Math. Anal., t. 17, 1968, p. 74-83. | MR | Zbl
) - ). -[17] On steady state solutions of a system of reaction diffusion equations from biology, Nonlinear Analysis, t. 6, 1982, p. 523-530. | MR | Zbl
) - ).-[18] On the existence of positive solutions of semilinear elliptic equations, S.I.A.M. Rev., t. 24, 1982, p. 441-467. | MR | Zbl
).-[19] The concentration compactness principle in the calculus of variations : The locally compact case, Parts I and II, Ann. Inst. H. Poincaré Anal. Non linéaire, t. 1, 1984, p. 109-145 and 223-284. | Numdam | MR | Zbl
).-[20]
).-In preparation.[21] Global existence of branches of stationary solutions for a system of reaction diffusion equations from biology, Nonlinear Analysis, t. 5, 1981, p. 487-498. | MR | Zbl
). -[22] Conformal deformation of a Riemannian metric to constant scalar curvature, J. Diff. Geometry, t. 20, 1984, p. 479-495. | MR | Zbl
). -[23] A global existence result for elliptic boundary value problem involving limiting nonlinearities, Math. Z., t. 187, 1984, p. 511-517. | MR | Zbl
). -[24] Symmetry properties in system of semilinear elliptic equations, J. Differential equations, t. 42, 1981, p. 400-413. | MR | Zbl
).-