ignacio_guerra

Ignacio Guerra

PHD in Engineering Mathematical Sciences, Technische Universiteit Eindhoven, Holland (2003)
Civil Mathematical Engineering, Universidad de Chile (1998)

Position: Associate Professor

Institution: Universidad Santiago de Chile

Research area: Partial Differential Equations.

Contact:

Email: ignacio.guerra@usach.cl

Phone: +56 2 271 82055

Adress: Las Sophoras 173, Santiago, Chile.

Publications

  • Chen, Wenjing; Guerra, Ignacio. Multiplicity of solutions to nearly critical elliptic equation in the bounded domain of R3. J. Math. Anal. Appl. 424 (2015), no. 1, 179–200. pdf
  • Dávila, Juan; Flores, Isabel; Guerra, Ignacio. Multiplicity and singular solutions for a Liouville-type system in a ball. Adv. Differential Equations 18 (2013), no. 9-10, 797–824. pdf
  • Dávila, Juan; del Pino, Manuel; Guerra, Ignacio. Non-uniqueness of positive ground states of non-linear Schrödinger equations. Proc. Lond. Math. Soc. (3) 106 (2013), no. 2, 318–344. pdf
  • Biler, Piotr; Espejo, Elio E.; Guerra, Ignacio. Blowup in higher dimensional two species chemotactic systems. Commun. Pure Appl. Anal. 12 (2013), no. 1, 89–98. pdf
  • Guerra, Ignacio. A note on nonlinear biharmonic equations with negative exponents.J. Differential Equations 253 (2012), no. 11, 3147–3157. pdf
  • Biler, Piotr; Guerra, Ignacio Blowup and self-similar solutions for two-component drift-diffusion systems. Nonlinear Anal. 75 (2012), no. 13, 5186–5193. pdf
  • Dávila, Juan; Flores, Isabel; Guerra, Ignacio Multiplicity of solutions for a fourth order equation with power-type nonlinearity. Math. Ann. 348 (2010), no. 1, 143–193. pdf
  • Dávila, Juan; Flores, Isabel; Guerra, Ignacio Multiplicity of solutions for a fourth order problem with exponential nonlinearity. J. Differential Equations 247 (2009), no. 11, 3136–3162. pdf
  • Del Pino, Manuel; Guerra, Ignacio. Ground states of a prescribed mean curvature equation. J. Differential Equations 241 (2007), no. 1, 112–129. pdf
  • Dávila, Juan; Dupaigne, Louis; Guerra, Ignacio; Montenegro, Marcelo Stable solutions for the bilaplacian with exponential nonlinearity. SIAM J. Math. Anal. 39 (2007), no. 2, 565–592. pdf
  • Clément, Philippe; García-Huidobro, Marta; Guerra, Ignacio; Manásevich, Raúl.  On regions of existence and nonexistence of solutions for a system of p–q-Laplacians.Asymptot. Anal. 48 (2006), no. 1-2, 1–18. pdf
  • Guerra, Ignacio Asymptotic self-similar blow-up for a model of aggregation. Nonlocal elliptic and parabolic problems, 165–188, Banach Center Publ., 66, Polish Acad. Sci., Warsaw, 2004.
  • Guerra, Ignacio; Nadzieja, Tadeusz Convergence to stationary solutions in a model of self-gravitating systems. Colloq. Math. 98 (2003), no. 1, 39–47. pdf
  • García-Huidobro, Marta; Guerra, Ignacio; Manásevich, Raúl Existence of positive radial solutions for a weakly coupled system via blow up. Abstr. Appl. Anal. 3 (1998), no. 1-2, 105–131. pdf