A variational approach to noncooperative elliptic systems

Rothe, 1981, Global existence of branches of stationary solutions for a system of reaction-diffusion equations from biology, Nonlinear Analysis, 5, 487, 10.1016/0362-546X(81)90097-3 Lazer, 1982, On steady-state solutions of a system of reaction-diffusion equations from biology, Nonlinear Analysis, 6, 523, 10.1016/0362-546X(82)90045-1 De, 1986, A maximum principle for an elliptic system and applications to semilinear problems, SIAM J. math. Analysis, 17, 836, 10.1137/0517060 Silva, 1992, Multiple solutions for a semilinear elliptic system, CMS Tech. Summ. Rep. No. 93-7 Costa, 1994, A variational approach to subquadratic perturbations of elliptic systems, J. diff. Eqns, 111, 103, 10.1006/jdeq.1994.1077 De, 1992, On superquadratic elliptic systems Costa, 1992, Un problème elliptique non-quadratique à l'infini, C. r. hebd. Séanc. Acad. Sci Paris, 315, 1059 Costa, 1994, Variational elliptic problems which are nonquadratic at infinity, Nonlinear Analysis, 23, 1401, 10.1016/0362-546X(94)90135-X Rabinowitz, 1986, Minimax Methods in Critical Point Theory with Applications to Differential Equations, Vol. 65 Benci, 1979, Critical point theorems for indefinite functionals, Invent. Math., 52, 241, 10.1007/BF01389883 Ambrosetti, 1973, Dual variational methods in critical point theory and applications, J. funct. Analysis, 14, 349, 10.1016/0022-1236(73)90051-7 Landesman, 1970, Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Math. Mech., 19, 609 Costa D.G. & Magalhaes C.A., A unified approach to a class of strongly indefinite functionals (in preparation). Cerami, 1978, Un criterio de esistenza per i punti critici su varietà ilimitate, Rc. Ist. Lomb. Sci. Lett., 112, 332 Bartolo, 1983, Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity, Nonlinear Analysis, 7, 981, 10.1016/0362-546X(83)90115-3 Rudin, 1974 Goncalves, 1990, Existence of nontrivial solutions for semilinear elliptic equations at resonance, Houston J. Math., 16, 583