A new generalization of the Browder’s degree for mappings of the type is presented. The main idea is rooted in the observation that the Browder’s degree remains unchanged for mappings of the form , where is a reflexive uniformly convex Banach space continuously embedded in the Banach space . The advantage of the suggested degree lies in the simplicity it provides for the calculations of degree associated to nonlinear operators. An application from the theory of phase transition in liquid crystals is presented for which the suggested degree has been successfully applied.
"A new generalization of Browder's degree." J. Integral Equations Applications 32 (1) 89 - 99, Spring 2020. https://doi.org/10.1216/JIE.2020.32.89