@article{AIHPC_1994__11_3_245_0, author = {Volpert, A. I. and Volpert, V. A.}, title = {Construction of the {Leray-Schauder} degree for elliptic operators in unbounded domains}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {245--273}, publisher = {Gauthier-Villars}, volume = {11}, number = {3}, year = {1994}, mrnumber = {1277895}, zbl = {0835.35048}, language = {en}, url = {http://www.numdam.org/item/AIHPC_1994__11_3_245_0/} }
TY - JOUR AU - Volpert, A. I. AU - Volpert, V. A. TI - Construction of the Leray-Schauder degree for elliptic operators in unbounded domains JO - Annales de l'I.H.P. Analyse non linéaire PY - 1994 SP - 245 EP - 273 VL - 11 IS - 3 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPC_1994__11_3_245_0/ LA - en ID - AIHPC_1994__11_3_245_0 ER -
%0 Journal Article %A Volpert, A. I. %A Volpert, V. A. %T Construction of the Leray-Schauder degree for elliptic operators in unbounded domains %J Annales de l'I.H.P. Analyse non linéaire %D 1994 %P 245-273 %V 11 %N 3 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPC_1994__11_3_245_0/ %G en %F AIHPC_1994__11_3_245_0
Volpert, A. I.; Volpert, V. A. Construction of the Leray-Schauder degree for elliptic operators in unbounded domains. Annales de l'I.H.P. Analyse non linéaire, Volume 11 (1994) no. 3, pp. 245-273. http://www.numdam.org/item/AIHPC_1994__11_3_245_0/
[1] Geometrical Methods of Nonlinear Analysis, Springer-Verlag, Berlin, New York, 1984. | MR | Zbl
and ,[2] Construction of the Rotation of the Vector Field for Operators Describing Wave Solutions of Parabolic Systems, Soviet Math. Dokl., Vol. 36, 1988, n° 3, pp. 452-455. | MR | Zbl
and ,[3] Application of the Rotation Theory of Vector Fields to the Study of Wave Solutions of Parabolic Equations, Trans. Moscow Math. Soc., Vol. 52, 1990, pp. 59-108. | Zbl
and ,[4] Nonlinear Elliptic Equations of Higher Order, Naukova Dumka, Kiev, 1973 (in Russian). Nonlinear elliptic boundary value problems. Teubner-Texte zur Mathematik, Vol. 91, 1986, BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 232 p. | Zbl
,[5] Travelling Waves Described by Monotone Parabolic Systems, Preprint n° 146, CNRS URA 740, 1993, 46 p.
and ,[6] Travelling Fronts in Cylinder, Annales de l'IHP. Analyse non linéaire, Vol. 9, 1992, n° 5, pp. 497-572. | Numdam | MR | Zbl
and ,[7] Existence of Multidimensional Travelling Wave Solutions of an Initial-Boundary value Problem, J. Diff. Eqns, Vol. 61, 1986, pp. 335-379. | MR | Zbl
,[8] Travelling Waves for Semilinear Parabolic Partial Differential Equations in Cyclindrical domains, Preprint n° 506, Heidelberg, 1989, 46 p.
,[9] Linear and quasilinear elliptic equations, Academic Press, New York, 1968. | MR | Zbl
and ,[10] Variational Problems Related to Self-similar Solutions of the Heat Equation, Nonlinear Analysis TMA, Vol. 11, 1987, n° 10, pp. 1103-1133. | MR | Zbl
and ,[11] Geometrical Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, Vol. 840, Springer-Verlag, Berlin, New York, 1981. | MR | Zbl
,[12] Analysis in Classes of Discontinuous Functions and Equations of Mathematical Physics, Martinus Nijhoff Publisher, 1985. | MR | Zbl
and ,[13] Degree Theory for Nonlinear Mappings, Proceedings of Symposia in Pure Mathematics, Vol. 45, 1986, Part 1, pp. 203-226. | MR | Zbl
,