Research Interests: 

Partial Differential Equations, Potential Theory, Harmonic Analysis

Publications and Preprints:

• Articles

  • K. Hirata and A. Seesanea, The Dirichlet problem for sublinear elliptic equations with source, submitted. [PDF]

  • T. Hara and A. Seesanea, Existence of minimal solutions to quasilinear elliptic equations with several sub-natural growth terms, Nonlinear Analysis 197 (2020), published online. [Journal]

  • A. Seesanea and I. E. Verbitsky, Finite energy solutions to inhomogeneous nonlinear elliptic equations with sub-natural growth terms, Advances in Calculus of Variations  13 (2020), no. 1, 53-74. [Journal]

  • A. Seesanea and I. E. Verbitsky, Solutions in Lebesgue spaces to nonlinear elliptic equations with sub-natural growth terms, Algebra i Analiz 31 (2019), no. 3, 216-238. [Journal]

  • A. Seesanea and I. E. Verbitsky, Solutions to sublinear elliptic equations with finite generalized energy, Calculus of Variations and Partial Differential Equations 58 (2019), no. 1, Art. 6. [Journal]

  • A. Seesanea and E. Schulz, Extensions of the Heisenberg groups by two-parameter groups of dilations, Proceedings of the Annual Pure and Applied Mathematics Conference (APAM 2013), Chulalongkorn University, Bangkok, Thailand (2013), 147-162. [PDF]

• Doctoral Dissertation (under the supervision of I. E. Verbitsky)

  • A. Seesanea, Potential theory methods for some nonlinear elliptic equations, University of Missouri, Columbia, MO, USA (2018). [PDF]      

• Master's Thesis (under the supervision of E. Schulz)

  • A. Seesanea, Extensions of the Heisenberg group by d-parameter groups of dilations, Suranaree University Technology, Nakhon Ratchasima, Thailand (2012). [PDF] 

SIIT Analysis and PDE Seminar Series:

• Spring 2021