Existence of Positive Solutions for a Nonvariational Quasilinear Elliptic System

Journal of Differential Equations - Tập 166 - Trang 455-477 - 2000
Philippe Clément1, Jacqueline Fleckinger2, Enzo Mitidieri3, François de Thélin2
1Department of Technical Mathematics and Informatics, University of Technology, Delft, The Netherlands
2Mathématiques pour l'Industrie et la Physique, UMR CNRS 5640, URF MIG, Université Paul Sabatier, 118, route de Narbonne, 31062, Toulouse cedex, France
3Dipartimento di Science Matematiche, Università degli Studi di Trieste, Piazzale Europa 1, Trieste, 34100, Italy

Tài liệu tham khảo

Clément, 1992, Positive solutions of semilinear elliptic systems, Comm. Partial Differential Equations, 17, 923, 10.1080/03605309208820869 Clément, 1993, Positive solutions for a quasilinear system via blow up, Comm. Partial Differential Equations, 18, 2071, 10.1080/03605309308821005 Mitidieri, 1993, A. Rellich type identity and applications, Comm. Partial Differential Equations, 18, 125, 10.1080/03605309308820923 Mitidieri, 1995, Non existence theorems for systems of quasilinear partial differential equations, Differential Integral Equations, 8, 1331, 10.57262/die/1368638169 Peletier, 1992, Existence and non-existence of positive solutions of non-linear elliptic systems and the biharmonic equation, Differential Integral Equations, 54, 747 Serrin, 1996, Non-existence of positive solution of Lane–Emden systems, Differential Integral Equations, 9, 635, 10.57262/die/1367969879 de Thélin, 1991, Existence et non-existence de solutions non triviales pour des systèmes elliptiques non linéaires, C.R. Acad. Sci. Paris, 313, 589 de Thélin, 1993, Existence and nonexistence of nontrivial solutions for some nonlinear elliptic systems, Rev. Mat. Univ. Comput. Madrid, 6, 153 van der Vorst, 1991, Variational identities and applications to differential systems, Arch. Rat. Mech. Anal., 116, 375, 10.1007/BF00375674