Bifurcation curves for the one-dimensional perturbed Gelfand problem with the Minkowski-curvature operator

In this paper, we study the shapes of bifurcation curves of positive solutions for the one-dimensional perturbed Gelfand problem with the Minkowski-curvature operator {-(u'(x)/root 1 - (u'(x)(2)) = lambda exp (au/a+U), - L < x < L, u(- L) = u(L) = 0, where lambda > 0 is a bifurcation parameter and a, L > 0 are evolution parameters. We determine the shapes of the bifurcation curves for different positive values a and L. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.