2019-10-142019-10-142019-06Cintra da Silva, W., Morales Rodrigo, C. y Suárez Fernández, A. (2019). Unilateral global bifurcation for a class of quasilinear elliptic systems and applications. Journal of Differential Equations, 267 (1), 619-657.0022-0396https://hdl.handle.net/11441/89638In this paper we establish a unilateral bifurcation result for a class of quasilinear elliptic system strongly coupled, extending the bifurcation theorem of [J. López-Gómez. Nonlinear eigenvalues and global bifurcation application to the search of positive solutions for general Lotka-Volterra reaction diffusion systems with two species. Differential Integral Equations, 7(5-6):1427–1452, 1994]. To this aim, we use several results, such that Fredholm operator of index 0 theory, eigenvalues of elliptic operators and the Krein-Rutman theorem. Lastly, we apply this result to some particular systems arising from population dynamics and determine a region of existence of coexistence states.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Quasilinear elliptic systemGlobal bifurcationCoexistence statesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1016/j.jde.2019.01.021