Craig Cowan

382 X,

Department of Mathematics,

450 Serra Mall,

Stanford University,

Stanford, California

94305

650-723-2221

ctcowan(at)stanford(dot)edu

Research

Partial differential equations and real analysis.

Publications

Papers and preprints can be found here: http://arxiv.org/find/math/1/au:+Cowan_C/0/1/0/all/0/1?skip=0&query_id=4dfe31417f310523

Preprints

C. Cowan, A Liouville theorem for a fourth order Henon equation.

C. Cowan and M. Fazly, Uniqueness of solutions for elliptic problems involving the square root of the Laplacian operator.

C. Cowan, Uniqueness of solutions for elliptic systems and fourth order equations involving a parameter.

Accepted/Published

C. Cowan and M. Fazly, On stable entire solutions of semi linear elliptic equations with weights. Proc. Of AMS.

C. Cowan, Regularity of the extremal solutions in a Gelfand systems problem. Advanced Nonlinear Studies.

C. Cowan, P. Esposito and N. Ghoussoub, Regularity of extremal solutions in fourth order nonlinear Eigen value problems on general domains. Discrete Contin. Dyn. Syst. 28 (2010) no.3, 1033-1050.

C. Cowan, P. Esposito, N. Ghoussoub and A. Moradifam, The critical dimension for a fourth order elliptical problem with singular nonlinearity. Arch. Ration. Mech. Anal. (2009). 19 pp.

C. Cowan and N. Ghoussoub, Estimates on pull-in distances in microelectromechanical systems models and other nonlinear Eigen value problems, SIAM Journal on Mathematical Analysis, 2010, 1949-1966.

C. Cowan and N. Ghoussoub, Regularity of the extremal solution in a MEMS model with advection. Methods Appl. Anal. (2008) 8pp.

C. Cowan, Optimal Hardy inequalities for general elliptic operators with improvements. Commun. Pure Appl. Anal (2010) 31 pp.

C. Cowan, An elementary remark on the intersection of sets, Real Anal. Exchange (2006/07).