List of Publications

Robert C. McOwen, Professor of Mathematics

  1. The C*-algebra of a singular elliptic problem on a noncompact Riemannian manifold (with H.O. Cordes), Math. Zeit. 153 (1977), 101-116.
  2. Remarks on singular elliptic theory for complete Riemannian manifolds (with H.O. Cordes), Pacific J. 70 (1977), 133-141.
  3. The behavior of the Laplacian on weighted Sobolev spaces, Comm. Pure Appl. Math. 32 (1979), 783-795.
  4. Fredholm theory of partial differential equations on complete Riemannian manifolds, Pacific J. 87 (1980), 169-185.
  5. On elliptic operators in Rn, Comm. Part. Diff. Eq. 5 (1980), 913-933.
  6. Boundary value problems for the Laplacian in an exterior domain, Comm. Part. Diff. Eq. 6 (1981), 783-798.
  7. Pseudo-differential operators depending on a complex parameter, Global Analysis (ed. T.M. Rassias), Teubner-Texte, Leipzig, 1983.
  8. On elliptic systems in Rn (with R. Lockhart), Acta Math. 150 (1983), 125-135.
  9. On the equation Δu + Ke2u = f and prescribed negative curvature on R2, J. Math. Anal. and Appl. 103 (1984), 365-370.
  10. Elliptic differential operators on noncompact manifolds (with R. Lockhart), Ann. Scuola Norm. Sup. Pisa, Ser. IV 12 (1985), 409-447.
  11. Conformal metrics in R2 with prescribed Gaussian curvature and positive total curvature, Indiana Univ. Math. J. 34 (1985), 97-104.
  12. Conformal deformations of complete manifolds with negative curvature (with P. Aviles), J. Diff. Geom. 12 (1985), 269-281.
  13. Negative curvature and conformal deformations of complete manifolds, Nonlinear Problems in Geometry (Contemporary Mathematics, Vol. 51), ed. D. Deturck, AMS, 1986.
  14. Conformal deformation to constant negative scalar curvature on noncompact Riemannian manifolds (with P. Aviles), J. Diff. Geom. 27 (1988), 225-239.
  15. Point singularities and conformal metrics on Riemann surfaces, Proc. of the Amer. Math. Soc. 103 (1988), 222-224.
  16. Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds (with P. Aviles), Duke Math. J. 56 (1988), 395-398.
  17. The Laplacian on complete manifolds with warped cylindrical ends (with X. Ma), Comm. Part. Diff. Eq. 16 (1991), 1583-1614.
  18. Complete conformal metrics with zero scalar curvature in compact Riemannan manifolds (with X. Ma), Proc. of the Amer. Math. Soc. 115 (1992), 69-77.
  19. Prescribed curvature and singularites of conformal metrics on Riemann surfaces, J. Math. Anal & Appl. 177 (1993), 287-298.
  20. Conformal metrics with singularities and finite negative total curvature on Riemann surfaces, Geometry and Nonlinear Partial Differential Equations (Contemporary Mathematics, Vol. 127), ed. Oliker & Treibergs, AMS, 1992.
  21. Singularites and the conformal scalar curvature equation, Geometric Analysis and Nonlinear Partial Differential Equations, ed. I. Bakelman, Dekker Inc., 1993.
  22. Singularities and asymptotics for the equation Δgu+uq=Su (with D. Finn), Indiana Univ. Math. J. 42 (1993), 1487-1523.
  23. Partial Differential Equations: Methods and Applications, Prentice Hall, 1996.
  24. Results and open questions on the singular Yamabe problem, Proceedings of the Conference on Dynamical Systems and Differential Equations held at Springfield, Missouri, June 1996; appeared in Dynamical Systems & Differential Equations 1998.
  25. The singular Yamabe problem & conical asymptotics, Proceedings of the International Conference on Dynamical Systems and Differential Equations, Shanghai, June 1998.
  26. Singular Sturm-Liouville theory on manifolds (with R. Mazzeo), Journal of Differential Equations 176 (2001), 387-444.
  27. Partial Differential Equations: Methods and Applications, Second Edition, Prentice Hall, 2003.
  28. Asymptotics for solutions of elliptic equations in double divergence form (with V. Maz'ya), Comm. Part. Diff. Eq. 32 (2007), 1-17.