Publications | Department of Mathematics

Publications

Existence and Nonexistence of Solutions for Semilinear Equations on Exterior Domains, Electronic Journal of Differential Equations, Vol. 2016, No. 227, 1-9.

Existence for Semilinear Equations on Exterior Domains, Electronic Journal of Qualitative Theory of Differential Equations, 108, 2016, pp. 1-12.

Existence of Solutions for Semilinear Equations with Prescribed Number of Zeros on Exterior Domains, Journal of Mathematical Analysis and Applications, 446 (2017), pp. 591-604.

Spreading Charged Microdroplets, Differential and Integral Equations, Vol. 29 No. 9/10 2016 pp. 923-938.

Existence of Solutions for Semilinear Problems with Prescribed Number of Zeros on Exterior Domains, with Janak Joshi, Electronic Journal of Differential Equations, Vol. 2016 (2016), No. 112, pp. 1-11.

Loitering at the Hilltop on Exterior Domains, Electronic Journal of the Qualitative Theory of Differential Equations, 2015, No. 82, pp.1-11.

The Spreading of Charged Microdroplets, Electronic Journal of Differential Equations, Vol. 2015 (2015), No. 18, pp. 1-20.

Spreading of Charged Microdroplets, Electronic Journal of Differential Equations, Vol. 2013 (2013), No. 202, pp. 1-22.

Solutions of the Porous Medium Equation with Degenerate Interfaces, with S. Betelu, European Journal of Applied Mathematics, Volume 24, No. 3, 2013, pp. 315-341.

Traveling Wave Solutions of the Porous Medium Equation with Degenerate Interfaces, with L. Paudel, Nonlinear Analysis Series A: Theory, Methods, and Applications, 81, 2013, pp. 110-129.

Traveling Waves and Capillarity Driven Spreading of Shear-Thinning Fluids, Journal of Partial Differential Equations, Vol. 23, No. 1, Feb. 2010, pp. 33-67.

Radial Solutions to a Superlinear Dirichlet Problem Using Bessel Functions, with S. Pudipeddi, Electronic Journal of the Qualitative Theory of Differential Equations, 2008, no. 38, pp. 1-13.

Localized Solutions of a Semilinear Elliptic Equation: Loitering at the Hilltop. Electronic Journal of the Qualitative Theory of Differential Equations, 2006, No. 12, pp. 1-15.

Nonconvergent Solutions of Laplacian(u) + f(u) = 0 in R^N. Variational methods: open problems, recent progress, and numerical algorithms. Contemporary Mathematics, 357, AMS, 2004, 251-267.

Positive Solution Curves in Semipositone Problems with Concave-Convex Type Nonlinearities, with S. Gadam. Electronic Journal of the Qualitative Theory of Differential Equations, No. 4, 2001, pp. 1-9.

Uniqueness of Inflection Points for Positive Solutions of a Semilinear Elliptic PDE, Nonlinear Analysis, Vol. 47, 2001, pp. 3231-3233.

Encapsulated-Vortex Solutions to Equivariant Wave Equations: Existence, with H. Warchall. SIAM Journal of Mathematical Analysis, Vol. 30, No. 1, 1998, pp. 118-139.

Localized Radial Solutions to a Semilinear Elliptic Equation on R^N, Dynamical Systems and Differential Equations - Proceedings of the International Conference on Dynamical Systems and Differential Equations, Springfield, Missouri 1996, Vol. I, 1998, pp. 314-326.

Localized Solutions of Sublinear, Elliptic Equations: Loitering at the Hilltop, with H. Warchall and F. Weissler, Rocky Mountain Journal of Mathematics, Vol. 27, No. 4, Fall 1997, pp. 1131-1157.

Radial Solutions to a p-Laplacian Dirichlet Problem, Applicable Analysis, Vol. 58, 1995, pp. 335-350.

A Priori Estimates for a Semilinear Elliptic PDE, Nonlinear Analysis: Theory, Methods, and Applications, Vol. 24, No. 7, 1995, pp. 1039-1048.

Nonradial Solutions of a Semilinear Elliptic Equation in Two Dimensions, with H. Warchall, Journal of Differential Equations, Vol. 119, No. 2, July 1995, pp. 533-558.

A Priori Estimates and Uniqueness of Inflection Points for Positive Solutions of Semipositone Problems, Differential and Integral Equations, Vol. 8, No. 2, Feb. 1995, pp. 393-403.

The Weyl Problem for Surfaces of Nonnegative Curvature, Lecture Notes in Pure and Applied Mathematics, Vol. 144: Geometric Analysis and Nonlinear Partial Differential Equations, 1993, pp. 213-220.

Isometric Embeddings of Surfaces with Nonnegative Curvature in R^3, Duke Mathematical Journal, Vol. 67, No. 2, August 1992, pp. 423-459.