Joseph A. Iaia

Previous Scheduled Teaching

Published Intellectual Contributions

Journal Article

• Iaia, J.A., Aryal, N. (2024). Existence of Two Infinite Families of Solutions to Singular Superlinear Equation on Exterior Domains. Electronic Journal of the Qualitative Theory of Differential Equations. 68
• Iaia, J.A. (2024). Existence of Two Infinite Families of Solutions for Singular, Superlinear Equations on Exterior Domains. Electronic Journal of Differential Equations. 06
• Iaia, J.A. (2023). Existence and Nonexistence of Sign-changing Solutions for Singular, Superlinear Equations on Exterior Domains. Communications on Pure and Applied Analysis. 2023 (22(11)) 14.
• Iaia, J.A. (2022). Existence and Nonexistence of Sign-Changing Solutions for Singular, Semilinear Equations on Exterior Domains. Nonlinear Analysis. 2022 10.
• Iaia, J.A., Ali, M. (2021). Existence and Nonexistence for Singular Sublinear Problems on Exterior Domains. Electronic Journal of Differential Equations. 2021 (3) 17.
• Iaia, J.A., Ali, M. (2021). Infinitely Many Solutions for a Singular Semilinear Problem on Exterior Domains. Electronic Journal of Differential Equations. 2021 (68) 17.
• Iaia, J.A. (2020). Existence and Nonexistence of Radial Solutions for Semilinear Equations with Bounded Nonlinearities on Exterior Domains.. Electronic Journal of Differential Equations. 2020 (117) 16.
• Iaia, J.A. (2020). Existence of Infinitely Many Solutions for Semilinear Problems on Exterior Domains. Communications on Pure and Applied Analysis. 2020 (19) 15.
• Iaia, J.A. (2020). Existence of Solutions for Semilinear Problems on Exterior Domains. Electronic Journal of Differential Equations. 2020 (34) 10.
• Iaia, J.A. (2019). Existence of Infinitely Many Solutions for Singular Semilinear Problems on Exterior Domains. Electronic Journal of Differential Equations. 2019 (108) 11.
• Iaia, J.A. (2018). Existence of Solutions for Sublinear Equations on Exterior Domains. Electronic Journal of Differential Equations. 181 1-14.
• Iaia, J.A., Joshi, J. (2018). Infinitely Many of Solutions for a Semilinear Problem on Exterior Domains with Nonlinear Boundary Conditions. Electronic Journal of Differential Equations. 108 1-10.
• Iaia, J.A. (2017). Existence and Nonexistence of Solutions for Semilinear Equations on Exterior Domains. Journal of Partial Differential Equations. 30 (4) 17.
• Iaia, J.A. (2017). Existence and Nonexistence of Solutions for Sublinear Equations on Exterior Domains. Electronic Journal of Differential Equations. 214 1-13.
• Iaia, J.A. (2017). Existence of Solutions for Semilinear Problems with Prescribed Number of Zeros on Exterior Domains. Journal of Mathematical Analysis and Applications. 446 591-604.
• Iaia, J.A. (2017). Existence of Solutions for Sublinear Equations on Exterior Domains. Electronic Journal of Differential Equations. 253 1-14. Denton,
• J. Iaia. (2016). Existence and Nonexistence for Semilinear Equations on Exterior Domains. Electronic Journal of Differential Equations. 227 1-9.
• J. Iaia. (2016). Existence of Solutions for Semilinear Problems on Exterior Domains. Electronic Journal of Differential Equations. 112 1-11.
• Iaia, J.A., Joshi, J. (2016). Existence of Solutions for Semilinear Problems with Prescribed Number of Zeros on Exterior Domains. Electronic Journal of Differential Equations. 112 1-11.
• J. Iaia. (2016). Spreading of Charged MicroDroplets. Differential and Integral Equations. 29 (9/10) 923-938.
• Iaia, J.A. (2015). Loitering at the Hilltop on Exterior Domains. Electronic Journal of Qualitative Theory of Differential Equations. 82 1-11.
• Iaia, J.A. (2015). The Spreading of Charged Microdroplets.
• with S. Betelu. (2013). Solutions of the Porous Medium Equation with Degenerate Interfaces. Nonlinear Analysis: Theory, Methods & Applications. 81 110-129.
• Iaia, J.A. (2013). Spreading of Charged Microdroplets.
• with L. Paudel. (2013). Traveling Wave Solutions of the Porous Medium Equation with Degenerate Interfaces.
• Iaia, J.A. (2010). Traveling Wave and Capillarity Driven Spreading of Shear-Thinning Fluids.
• with S. Pudipeddi. (2008). Radial Solutions to a Superlinear Dirichlet Problem Using Bessel Functions.
• Iaia, J.A. (2006). Localized Solutions of a Semilinear Elliptic Equation: Loitering at the Hilltop.
• Iaia, J.A. (2004). Nonconvergent Solutions of u + f(u) = 0 in RN. Variational methods: open problems, recent progress, and numerical algorithms.
• with Sudhasree Gadam. (2001). Positive Solution Curves in Semipositone Problems with Concave-Convex Type Nonlinearities.
• Iaia, J.A. (2001). Uniqueness of Inflection Points for Positive Solutions of a Semilinear EllipticPDE.
• with Henry Warchall. (1998). Encapsulated-Vortex Solutions to Equivariant Wave Equations: Existence.
• Iaia, J.A. (1998). Localized Radial Solutions to a Semilinear Elliptic Equation on R^N..
• with Henry Warchall. (1997). Localized Solutions of Sublinear, Elliptic Equations: Loitering at the Hilltop.
• Iaia, J.A. (1995). A Priori Estimates and Uniqueness of Inflection Points for Positive Solutions of Semipositone Problems.
• Iaia, J.A. (1995). A Priori Estimates for a Semilinear Elliptic PDE.
• with Henry Warchall. (1995). Nonradial Solutions of a Semilinear Elliptic Equation in Two Dimensions.
• Iaia, J.A. (1995). Radial Solutions to a p-Laplacian Dirichlet Problem.
• Iaia, J.A. (1993). The Weyl Problem for Surfaces of Nonnegative Curvature.
• Iaia, J.A. (1992). Isometric Embeddings of Surfaces with Nonnegative Curvature in R3.

Contracts, Grants and Sponsored Research

Grant - Research

• Iaia, J.A., "Nonlinear Elliptic Equations on Exterior Domains," sponsored by Simons Foundation, Federal, $42000 Funded. (2023 - 2028).
• Iaia, J.A., Shelton, T. (Co-Principal), "Semilinear Elliptic Equations on Exterior Domains," sponsored by Center for Undergraduate Research in Mathematics (CURM), National, $5000 Funded. (2022 - 2023).
• Iaia, J.A. (Other), "ROP Faculty Research Grant," sponsored by University of North Texas, University of North Texas, $2500 Funded. (2004 - 2004).
• Iaia, J.A. (Other), "ROP Faculty Research Grant," sponsored by University of North Texas, University of North Texas, $1800 Funded. (2003 - 2003).
• Iaia, J.A. (Other), "ROP Faculty Research Grant," sponsored by University of North Texas, University of North Texas, $1800 Funded. (2002 - 2002).
• Iaia, J.A. (Other), "ROP Faculty Research Grant," sponsored by University of North Texas, University of North Texas, $1800 Funded. (1997 - 1997).
• Iaia, J.A. (Other), "ROP Faculty Research Grant," sponsored by University of North Texas, University of North Texas, $2500 Funded. (1996 - 1996).
• Iaia, J.A. (Other), "RIG Faculty Research Grant," sponsored by University of North Texas, University of North Texas, $2500 Funded. (1995 - 1995).
• Iaia, J.A. (Other), "RIG Faculty Research Grant," sponsored by University of North Texas, University of North Texas, $2500 Funded. (1994 - 1994).
• Iaia, J.A. (Other), "RIG Faculty Research Grant," sponsored by University of North Texas, University of North Texas, $2500 Funded. (1993 - 1993).
• Iaia, J.A. (Other), "RIG Faculty Research Grant," sponsored by University of North Texas, University of North Texas, $2100 Funded. (1992 - 1992).