About me

My name is Eduardo Teixeira. I am a Full Professor in  Department of Mathematics at Universidade Federal do Ceara, Brazil.  My main area of research concerns Partial Differential Equations and their applications. 

Selected Recent Publications

• Asymptotic behavior of solutions to the $\sigma_k$-Yamabe equation near isolated singularities. (with Zheng-Chao Han and YanYan Li). Accepted for Publication, Inventiones Mathematicae.

• Monotonicity theorems for Laplace Beltrami operator on Riemannian manifolds. (with Lei Zhang). Accepted for Publication, Advances in Mathematics.

• Optimal design problems in rough inhomogeneous media. Existence theory. Accepted for Publication, American Journal of Mathematics.

• Gradient estimates for viscosity solutions of singular fully non-linear elliptic equations. (with M. Montenegro). Journal of Functional Analysis, 259 (2010) 428–452.

• Regularity for obstacle problems in infinite dimensional Hilbert spaces. (with A. Swiech).  Advances in Mathematics, 220 (2009) no. 3, pp. 964--983.

• Elliptic regularity and free boundary problems: an introduction.  IMPA Mathematical Publications, 2007 +205pp.